Montgomery, Hugh L.
Overview
Works:  27 works in 126 publications in 5 languages and 2,668 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Annotator, Contributor 
Classifications:  QA241, 512.7 
Publication Timeline
.
Most widely held works by
Hugh L Montgomery
Multiplicative number theory
by
Harold Davenport(
Book
)
19 editions published between 1980 and 2000 in English and Undetermined and held by 745 WorldCat member libraries worldwide
"This book thoroughly examines the distribution of prime numbers in arithmetic progressions. It covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetic progressions, the theorem of Siegel, and functional equations of the Lfunctions and their consequences for the distribution of prime numbers. In addition, a simplified, improved version of the large sieve method is presented. The third edition includes a large number of revisions and corrections as well as a new section with references to more recent work in the field."Jacket
19 editions published between 1980 and 2000 in English and Undetermined and held by 745 WorldCat member libraries worldwide
"This book thoroughly examines the distribution of prime numbers in arithmetic progressions. It covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetic progressions, the theorem of Siegel, and functional equations of the Lfunctions and their consequences for the distribution of prime numbers. In addition, a simplified, improved version of the large sieve method is presented. The third edition includes a large number of revisions and corrections as well as a new section with references to more recent work in the field."Jacket
Topics in multiplicative number theory
by
Hugh L Montgomery(
Book
)
24 editions published between 1971 and 2008 in 4 languages and held by 593 WorldCat member libraries worldwide
24 editions published between 1971 and 2008 in 4 languages and held by 593 WorldCat member libraries worldwide
An introduction to the theory of numbers
by
Ivan Niven(
Book
)
15 editions published between 1991 and 2013 in English and Undetermined and held by 592 WorldCat member libraries worldwide
15 editions published between 1991 and 2013 in English and Undetermined and held by 592 WorldCat member libraries worldwide
Ten lectures on the interface between analytic number theory and harmonic analysis
by
Hugh L Montgomery(
Book
)
13 editions published between 1994 and 1996 in English and held by 350 WorldCat member libraries worldwide
"This book contains lectures presented by Hugh L. Montgomery at the NSFCBMS Regional Conference held at Kansas State University in May 1990. The book focuses on important topics in analytic number theory that involve ideas from harmonic analysis. One valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature. This book would be an excellent resource for harmonic analysts interested in moving into research in analytic number theory. In addition, it is suitable as a textbook in an advanced graduate topics course in number theory."Jacket
13 editions published between 1994 and 1996 in English and held by 350 WorldCat member libraries worldwide
"This book contains lectures presented by Hugh L. Montgomery at the NSFCBMS Regional Conference held at Kansas State University in May 1990. The book focuses on important topics in analytic number theory that involve ideas from harmonic analysis. One valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature. This book would be an excellent resource for harmonic analysts interested in moving into research in analytic number theory. In addition, it is suitable as a textbook in an advanced graduate topics course in number theory."Jacket
Multiplicative number theory I : classical theory
by
Hugh L Montgomery(
Book
)
14 editions published between 2006 and 2011 in English and held by 210 WorldCat member libraries worldwide
Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular, their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. This book comprehensively covers all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. The text is based on courses taught successfully over many years at the University of Michigan, Imperial College, London and Pennsylvania State University
14 editions published between 2006 and 2011 in English and held by 210 WorldCat member libraries worldwide
Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular, their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. This book comprehensively covers all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. The text is based on courses taught successfully over many years at the University of Michigan, Imperial College, London and Pennsylvania State University
Multiplicative number theory
by
Hugh L Montgomery(
Book
)
9 editions published in 2007 in English and held by 112 WorldCat member libraries worldwide
9 editions published in 2007 in English and held by 112 WorldCat member libraries worldwide
Multiplicative number theory I classical theory
by
Hugh L Montgomery(
)
2 editions published in 2006 in English and held by 13 WorldCat member libraries worldwide
Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. Assuming only subjects covered in a standard degree in mathematics, the authors comprehensively cover all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. They bring their extensive and distinguished research expertise to bear in preparing the student for intelligent reading of the more advanced research literature. The text, which is based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State, is enriched by comprehensive historical notes and references as well as over 500 exercises
2 editions published in 2006 in English and held by 13 WorldCat member libraries worldwide
Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. Assuming only subjects covered in a standard degree in mathematics, the authors comprehensively cover all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. They bring their extensive and distinguished research expertise to bear in preparing the student for intelligent reading of the more advanced research literature. The text, which is based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State, is enriched by comprehensive historical notes and references as well as over 500 exercises
Collected works
by
Edmund Landau(
Book
)
1 edition published in 1987 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 8 WorldCat member libraries worldwide
Mulʹtiplikativnai︠a︡ teorii︠a︡ chisel
by
Hugh L Montgomery(
Book
)
5 editions published in 1974 in Russian and held by 8 WorldCat member libraries worldwide
5 editions published in 1974 in Russian and held by 8 WorldCat member libraries worldwide
Early Fourier analysis
by
Hugh L Montgomery(
Book
)
2 editions published between 2014 and 2015 in English and held by 7 WorldCat member libraries worldwide
2 editions published between 2014 and 2015 in English and held by 7 WorldCat member libraries worldwide
Multiplicative number theory
by
Harold Davenport(
)
4 editions published in 2000 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 2000 in English and held by 4 WorldCat member libraries worldwide
On a density theorem of H.L. Montgomery for Lfunctions
by
M Jutila(
Book
)
1 edition published in 1972 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1972 in English and held by 4 WorldCat member libraries worldwide
Advances in multiplicative number theory
by
Hugh L Montgomery(
Book
)
1 edition published in 1972 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1972 in English and held by 3 WorldCat member libraries worldwide
Edmund Landau collected works
by
Edmund Landau(
Book
)
2 editions published in 1987 in Miscellaneous languages and English and held by 3 WorldCat member libraries worldwide
2 editions published in 1987 in Miscellaneous languages and English and held by 3 WorldCat member libraries worldwide
Edmund Landau collected works
by
Edmund Landau(
Book
)
2 editions published in 1987 in Miscellaneous languages and English and held by 3 WorldCat member libraries worldwide
2 editions published in 1987 in Miscellaneous languages and English and held by 3 WorldCat member libraries worldwide
Interface between analytic number theory and harmonic analysis : Conference : Selected papers
by
Hugh L Montgomery(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Number Theory, Analysis, and Combinatorics Proceedings of the Paul Turan Memorial Conference held August 2226, 2011 in Budapest
by
Kálmán Györy(
Book
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
Paul Turán, one of the greatest Hungarian mathematicians, was born 100 years ago, on August 18, 1910. To celebrate this occasion the Hungarian Academy of Sciences, the Alfréd Rényi Institute of Mathematics, the János Bolyai Mathematical Society and the Mathematical Institute of Eötvös Loránd University organized an international conference devoted to Paul Turán's main areas of interest: number theory, selected branches of analysis, and selected branches of combinatorics. The conference was held in Budapest, August 2226, 2011. Some of the invited lectures reviewed different aspects of Paul Tur
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
Paul Turán, one of the greatest Hungarian mathematicians, was born 100 years ago, on August 18, 1910. To celebrate this occasion the Hungarian Academy of Sciences, the Alfréd Rényi Institute of Mathematics, the János Bolyai Mathematical Society and the Mathematical Institute of Eötvös Loránd University organized an international conference devoted to Paul Turán's main areas of interest: number theory, selected branches of analysis, and selected branches of combinatorics. The conference was held in Budapest, August 2226, 2011. Some of the invited lectures reviewed different aspects of Paul Tur
Topics in multiplicative number theory : A dissertation submitted for the degree of doctor of Philosophy at the University of Cambridge
by
Hugh L Montgomery(
Book
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
Edmund Landau collected works
(
Book
)
in Miscellaneous languages and held by 1 WorldCat member library worldwide
in Miscellaneous languages and held by 1 WorldCat member library worldwide
Edmund Landau collected works
(
Book
)
in Miscellaneous languages and held by 1 WorldCat member library worldwide
in Miscellaneous languages and held by 1 WorldCat member library worldwide
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Montgomeri, G.
Montgomery, Hugh 1944
Montgomery, Hugh L.
Montgomery, Hugh Lowell.
Montgomery, Hugh Lowell 1944
Монтгомери, Г..
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