Andrews, George E. 1938
Overview
Works:  137 works in 436 publications in 4 languages and 9,387 library holdings 

Genres:  Conference papers and proceedings Biography 
Roles:  Author, Editor, Honoree, Thesis advisor, Other, Author of introduction 
Classifications:  QA165, 512.73 
Publication Timeline
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Most widely held works about
George E Andrews
 The selected works of George E. Andrews : (with commentary) by George E Andrews( Book )
 [George Andrews] : artist file by George Andrews( )
Most widely held works by
George E Andrews
The theory of partitions by
George E Andrews(
Book
)
37 editions published between 1973 and 2003 in English and Russian and held by 976 WorldCat member libraries worldwide
Discusses mathematics related to partitions of numbers into sums of positive integers
37 editions published between 1973 and 2003 in English and Russian and held by 976 WorldCat member libraries worldwide
Discusses mathematics related to partitions of numbers into sums of positive integers
Number theory by
George E Andrews(
Book
)
30 editions published between 1971 and 2012 in English and held by 785 WorldCat member libraries worldwide
Written by a distinguished mathematician and teacher, this undergraduate text uses a combinatorial approach to accommodate both math majors and liberal arts students. In addition to covering the basics of number theory, it offers an outstanding introduction to partitions, plus chapters on multiplicativitydivisibility, quadratic congruences, additivity, and more
30 editions published between 1971 and 2012 in English and held by 785 WorldCat member libraries worldwide
Written by a distinguished mathematician and teacher, this undergraduate text uses a combinatorial approach to accommodate both math majors and liberal arts students. In addition to covering the basics of number theory, it offers an outstanding introduction to partitions, plus chapters on multiplicativitydivisibility, quadratic congruences, additivity, and more
Special functions by
George E Andrews(
Book
)
24 editions published between 1999 and 2013 in English and German and held by 643 WorldCat member libraries worldwide
"This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric series, including Bessel functions and classical orthogonal polynomials. The basic building block of the functions studied in this book is the gamma function. In addition to relatively new work on gamma and beta functions, such as Selberg's multidimensional integrals, a number of important but relatively unknown nineteenth century results are included."BOOK JACKET. "The authors provide organizing ideas, motivation, and historical background for the study and application of some important special functions. This work can serve as a learning tool and lasting reference for students and researchers in special functions, mathematical physics, differential equations, mathematical computing, number theory, and combinatorics."Jacket
24 editions published between 1999 and 2013 in English and German and held by 643 WorldCat member libraries worldwide
"This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric series, including Bessel functions and classical orthogonal polynomials. The basic building block of the functions studied in this book is the gamma function. In addition to relatively new work on gamma and beta functions, such as Selberg's multidimensional integrals, a number of important but relatively unknown nineteenth century results are included."BOOK JACKET. "The authors provide organizing ideas, motivation, and historical background for the study and application of some important special functions. This work can serve as a learning tool and lasting reference for students and researchers in special functions, mathematical physics, differential equations, mathematical computing, number theory, and combinatorics."Jacket
Ramanujan revisited : proceedings of the centenary conference, University of Illinois at UrbanaChampaign, June 15, 1987 by Ramanujan Centenary Conference $ (1987 : University of Illinois at UrbanaChampaign)(
Book
)
16 editions published between 1988 and 1989 in English and held by 471 WorldCat member libraries worldwide
16 editions published between 1988 and 1989 in English and held by 471 WorldCat member libraries worldwide
Qseries : their development and application in analysis, number theory, combinatorics, physics, and computer algebra by
George E Andrews(
Book
)
14 editions published in 1986 in English and held by 357 WorldCat member libraries worldwide
14 editions published in 1986 in English and held by 357 WorldCat member libraries worldwide
Ramanujan's lost notebook by
George E Andrews(
Book
)
42 editions published between 2005 and 2013 in English and held by 322 WorldCat member libraries worldwide
This volume is the first of approximately four volumes devoted to providing statements, proofs, and discussions of all the claims made by Srinivasa Ramanujan in his lost notebook and all his other manuscripts and letters published with the lost notebook. In addition to the lost notebook, this publication contains copies of unpublished manuscripts in the Oxford library, in particular, his famous unpublished manuscript on the partition and taufunctions; fragments of both published and unpublished papers; miscellaneous sheets; and Ramanujan's letters to G. H. Hardy, written from nursing homes during Ramanujan's final two years in England. This volume contains accounts of 442 entries (counting multiplicities) made by Ramanujan in the aforementioned publication. The present authors have organized these claims into eighteen chapters, containing anywhere from two entries in Chapter 13 to sixtyone entries in Chapter 17. Most of the results contained in Ramanujan's Lost Notebook fall under the purview of qseries. These include mock theta functions, theta functions, partial theta function expansions, false theta functions, identities connected with the RogersFine identity, several results in the theory of partitions, Eisenstein series, modular equations, the RogersRamanujan continued fraction, other qcontinued fractions, asymptotic expansions of qseries and qcontinued fractions, integrals of theta functions, integrals of qproducts, and incomplete elliptic integrals. Other continued fractions, other integrals, infinite series identities, Dirichlet series, approximations, arithmetic functions, numerical calculations, diophantine equations, and elementary mathematics are some of the further topics examined by Ramanujan in his lost notebook
42 editions published between 2005 and 2013 in English and held by 322 WorldCat member libraries worldwide
This volume is the first of approximately four volumes devoted to providing statements, proofs, and discussions of all the claims made by Srinivasa Ramanujan in his lost notebook and all his other manuscripts and letters published with the lost notebook. In addition to the lost notebook, this publication contains copies of unpublished manuscripts in the Oxford library, in particular, his famous unpublished manuscript on the partition and taufunctions; fragments of both published and unpublished papers; miscellaneous sheets; and Ramanujan's letters to G. H. Hardy, written from nursing homes during Ramanujan's final two years in England. This volume contains accounts of 442 entries (counting multiplicities) made by Ramanujan in the aforementioned publication. The present authors have organized these claims into eighteen chapters, containing anywhere from two entries in Chapter 13 to sixtyone entries in Chapter 17. Most of the results contained in Ramanujan's Lost Notebook fall under the purview of qseries. These include mock theta functions, theta functions, partial theta function expansions, false theta functions, identities connected with the RogersFine identity, several results in the theory of partitions, Eisenstein series, modular equations, the RogersRamanujan continued fraction, other qcontinued fractions, asymptotic expansions of qseries and qcontinued fractions, integrals of theta functions, integrals of qproducts, and incomplete elliptic integrals. Other continued fractions, other integrals, infinite series identities, Dirichlet series, approximations, arithmetic functions, numerical calculations, diophantine equations, and elementary mathematics are some of the further topics examined by Ramanujan in his lost notebook
Percy Alexander MacMahon : collected papers by
Percy Alexander MacMahon(
Book
)
5 editions published in 1986 in English and held by 313 WorldCat member libraries worldwide
Profiles English mathematician Percy Alexander MacMahon (18541929), with information provided by the University of Saint Andrews School of Mathematics and Statistics in Scotland as part of the MacTutor History of Mathematics Archive. He worked on invariants and published a book on mathematical recreations
5 editions published in 1986 in English and held by 313 WorldCat member libraries worldwide
Profiles English mathematician Percy Alexander MacMahon (18541929), with information provided by the University of Saint Andrews School of Mathematics and Statistics in Scotland as part of the MacTutor History of Mathematics Archive. He worked on invariants and published a book on mathematical recreations
Integer partitions by
George E Andrews(
Book
)
10 editions published in 2004 in English and held by 294 WorldCat member libraries worldwide
"The aim of this introductory textbook is to provide an accessible and wideranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints."Jacket
10 editions published in 2004 in English and held by 294 WorldCat member libraries worldwide
"The aim of this introductory textbook is to provide an accessible and wideranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints."Jacket
The Continued fractions found in the unorganized portions of Ramanujan's notebooks by
George E Andrews(
Book
)
14 editions published in 1992 in English and held by 251 WorldCat member libraries worldwide
14 editions published in 1992 in English and held by 251 WorldCat member libraries worldwide
The Rademacher legacy to mathematics : the centenary conference in honor of Hans Rademacher, July 2125, 1992, the Pennsylvania
State University by Hans Rademacher Centenary Conference$ (1992 : Pennsylvania State University)(
Book
)
15 editions published in 1994 in English and held by 234 WorldCat member libraries worldwide
15 editions published in 1994 in English and held by 234 WorldCat member libraries worldwide
Generalized Frobenius partitions by
George E Andrews(
Book
)
11 editions published in 1984 in English and held by 221 WorldCat member libraries worldwide
11 editions published in 1984 in English and held by 221 WorldCat member libraries worldwide
On the general RogersRamanujan theorem by
George E Andrews(
Book
)
13 editions published in 1974 in English and held by 205 WorldCat member libraries worldwide
13 editions published in 1974 in English and held by 205 WorldCat member libraries worldwide
The Andrews festschrift : seventeen papers on classical number theory and combinatorics by
Dominique Foata(
Book
)
6 editions published in 2001 in English and held by 134 WorldCat member libraries worldwide
This book contains seventeen contributions made to George Andrews on the occasion of his sixtieth birthday, ranging from classical number theory (the theory of partitions) to classical and algebraic combinatorics. Most of the papers were read at the 42nd session of the Sminaire Lotharingien de Combinatoire that took place at Maratea, Basilicata, in August 1998. This volume contains a long memoir on Ramanujan's Unpublished Manuscript and the Tau functions studied with a contemporary eye, together with several papers dealing with the theory of partitions. There is also a description of a maple package to deal with general qcalculus. More subjects on algebraic combinatorics are developed, especially the theory of Kostka polynomials, the ice square model, the combinatorial theory of classical numbers, a new approach to determinant calculus
6 editions published in 2001 in English and held by 134 WorldCat member libraries worldwide
This book contains seventeen contributions made to George Andrews on the occasion of his sixtieth birthday, ranging from classical number theory (the theory of partitions) to classical and algebraic combinatorics. Most of the papers were read at the 42nd session of the Sminaire Lotharingien de Combinatoire that took place at Maratea, Basilicata, in August 1998. This volume contains a long memoir on Ramanujan's Unpublished Manuscript and the Tau functions studied with a contemporary eye, together with several papers dealing with the theory of partitions. There is also a description of a maple package to deal with general qcalculus. More subjects on algebraic combinatorics are developed, especially the theory of Kostka polynomials, the ice square model, the combinatorial theory of classical numbers, a new approach to determinant calculus
Topics in number theory : in honor of B. Gordon and S. Chowla by
Scott D Ahlgren(
Book
)
8 editions published in 1999 in English and held by 100 WorldCat member libraries worldwide
"This volume contains the proceedings of the Topics in Number Theory Conference held at the Pennsylvania State University from July 31 through August 3, 1997. It contains seventeen research papers covering many areas of number theory; among them are contributions from four of the eight plenary speakers."Book jacket
8 editions published in 1999 in English and held by 100 WorldCat member libraries worldwide
"This volume contains the proceedings of the Topics in Number Theory Conference held at the Pennsylvania State University from July 31 through August 3, 1997. It contains seventeen research papers covering many areas of number theory; among them are contributions from four of the eight plenary speakers."Book jacket
Partitions : yesterday and today by
George E Andrews(
Book
)
3 editions published in 1979 in English and held by 76 WorldCat member libraries worldwide
3 editions published in 1979 in English and held by 76 WorldCat member libraries worldwide
Number theory, invariants, and applications by
Percy Alexander MacMahon(
Book
)
3 editions published in 1986 in English and held by 61 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 61 WorldCat member libraries worldwide
The selected works of George E. Andrews : (with commentary) by
George E Andrews(
Book
)
4 editions published in 2013 in English and held by 12 WorldCat member libraries worldwide
4 editions published in 2013 in English and held by 12 WorldCat member libraries worldwide
Ramanujan's lost notebook by
George E Andrews(
Book
)
5 editions published in 2009 in English and held by 11 WorldCat member libraries worldwide
This volume is the second of approximately four volumes that the authors plan to write on Ramanujan's lost notebook, which is broadly interpreted to include all material published in The Lost Notebook and Other Unpublished Papers in 1988. The primary topics addressed in the authors' second volume on the lost notebook are qseries, Eisenstein series, and theta functions. Most of the entries on qseries are located in the heart of the original lost notebook, while the entries on Eisenstein series are either scattered in the lost notebook or are found in letters that Ramanujan wrote to G.H. Hardy from nursing homes. About Ramanujan's Lost Notebook, Volume I: "Andrews and Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete."  Gazette of the Australian Mathematical Society "...the results are organized topically with crossreferences to the identities as they appear in the original Ramanujan manuscript. Particularly helpful are the extensive references, indicating where in the literature these results have been proven or independently discovered as well as where and how they have been used."  Bulletin of the American Mathematical Society "The mathematics community owes a huge debt of gratitude to Andrews and Berndt for undertaking the monumental task of producing a coherent presentation along with complete proofs of the chaotically written mathematical thoughts of Ramanujan during the last year of his life. Some 85 years after his death, beautiful "new" and useful results of Ramanujan continue to be brought to light."  Mathematical Reviews
5 editions published in 2009 in English and held by 11 WorldCat member libraries worldwide
This volume is the second of approximately four volumes that the authors plan to write on Ramanujan's lost notebook, which is broadly interpreted to include all material published in The Lost Notebook and Other Unpublished Papers in 1988. The primary topics addressed in the authors' second volume on the lost notebook are qseries, Eisenstein series, and theta functions. Most of the entries on qseries are located in the heart of the original lost notebook, while the entries on Eisenstein series are either scattered in the lost notebook or are found in letters that Ramanujan wrote to G.H. Hardy from nursing homes. About Ramanujan's Lost Notebook, Volume I: "Andrews and Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete."  Gazette of the Australian Mathematical Society "...the results are organized topically with crossreferences to the identities as they appear in the original Ramanujan manuscript. Particularly helpful are the extensive references, indicating where in the literature these results have been proven or independently discovered as well as where and how they have been used."  Bulletin of the American Mathematical Society "The mathematics community owes a huge debt of gratitude to Andrews and Berndt for undertaking the monumental task of producing a coherent presentation along with complete proofs of the chaotically written mathematical thoughts of Ramanujan during the last year of his life. Some 85 years after his death, beautiful "new" and useful results of Ramanujan continue to be brought to light."  Mathematical Reviews
Ramanujan's lost notebook by
George E Andrews(
Book
)
6 editions published in 2012 in English and held by 7 WorldCat member libraries worldwide
Annotation. In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This volume is the third of five volumes that the authors plan to write on Ramanujans lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988. The ordinary partition function p(n) is the focus of this third volume. In particular, ranks, cranks, and congruences for p(n) are in the spotlight. Other topics include the Ramanujan taufunction, the RogersRamanujan functions, highly composite numbers, and sums of powers of theta functions. Review from the second volume: "Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited."MathSciNet. Review from the first volume: "Andrews and Berndt are to be congratulated on the job they are doing. This is the first step ... on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete." Gazette of the Australian Mathematical Society
6 editions published in 2012 in English and held by 7 WorldCat member libraries worldwide
Annotation. In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This volume is the third of five volumes that the authors plan to write on Ramanujans lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988. The ordinary partition function p(n) is the focus of this third volume. In particular, ranks, cranks, and congruences for p(n) are in the spotlight. Other topics include the Ramanujan taufunction, the RogersRamanujan functions, highly composite numbers, and sums of powers of theta functions. Review from the second volume: "Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited."MathSciNet. Review from the first volume: "Andrews and Berndt are to be congratulated on the job they are doing. This is the first step ... on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete." Gazette of the Australian Mathematical Society
Ramanujan's Lost Notebook by
George E Andrews(
Book
)
4 editions published in 2013 in English and held by 5 WorldCat member libraries worldwide
"In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This volume is the fourth of five volumes that the authors plan to write on Ramanujan's lost notebook. In contrast to the first three books on Ramanujan's Lost Notebook, the fourth book does not focus on qseries. Most of the entries examined in this volume fall under the purviews of number theory and classical analysis. Several incomplete manuscripts of Ramanujan published by Narosa with the lost notebook are discussed. Three of the partial manuscripts are on diophantine approximation, and others are in classical Fourier analysis and prime number theory. Most of the entries in number theory fall under the umbrella of classical analytic number theory. Perhaps the most intriguing entries are connected with the classical, unsolved circle and divisor problems."Publisher's description
4 editions published in 2013 in English and held by 5 WorldCat member libraries worldwide
"In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This volume is the fourth of five volumes that the authors plan to write on Ramanujan's lost notebook. In contrast to the first three books on Ramanujan's Lost Notebook, the fourth book does not focus on qseries. Most of the entries examined in this volume fall under the purviews of number theory and classical analysis. Several incomplete manuscripts of Ramanujan published by Narosa with the lost notebook are discussed. Three of the partial manuscripts are on diophantine approximation, and others are in classical Fourier analysis and prime number theory. Most of the entries in number theory fall under the umbrella of classical analytic number theory. Perhaps the most intriguing entries are connected with the classical, unsolved circle and divisor problems."Publisher's description
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Related Identities
 Ramanujan Aiyangar, Srinivasa 18871920 Other Honoree Author Dedicatee
 Berndt, Bruce C. 1939 Contributor Editor
 Askey, Richard Other Editor
 Roy, Ranjan 1948 Other
 MacMahon, Percy Alexander 18541929 Author
 American Mathematical Society
 Eriksson, Kimmo 1967
 Bressoud, David M. 1950 Other Editor
 Parson, L. Alayne 1947 Other Editor
 Rademacher, Hans 18921969 Other Honoree
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Associated Subjects
Algebra Automorphic forms Combinatorial analysis Computational complexity Continued fractions Discontinuous functions Eisenstein series Field theory (Physics) Forms, Modular Fourier analysis Functions Functions, Special Functions, Theta Geometry, Algebraic Global analysis (Mathematics) Hypergeometric functions Hypergeometric series India Invariants Mathematical analysis Mathematicians Mathematics Number theory Partitions (Mathematics) qseries Ramanujan Aiyangar, Srinivasa, Sequences (Mathematics)
Alternative Names
Andrews, G. E.
Andrews, G. E. 1938
Andrews, George 1938
Andrews, George W
Andrews, George W. Eyre 1938
Ėndrjus, G. 1938
ndrs, G.
Eyre Andrews, George W. 1938
George Andrews amerikansk matematikar
George Andrews amerikansk matematiker
George Andrews mathmaticien amricain
George Andrews USamerikanischer Mathematiker
جورج اندروز ریاضیدان آمریکایی
アンドリュース, ジョージ
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