Montgomery, Hugh L.
Overview
Works:  27 works in 130 publications in 5 languages and 2,759 library holdings 

Genres:  Conference proceedings Biography 
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
)
23 editions published between 1980 and 2000 in English and Undetermined and held by 734 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
23 editions published between 1980 and 2000 in English and Undetermined and held by 734 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
An introduction to the theory of numbers by
Ivan Niven(
Book
)
16 editions published between 1991 and 2013 in English and Undetermined and held by 584 WorldCat member libraries worldwide
16 editions published between 1991 and 2013 in English and Undetermined and held by 584 WorldCat member libraries worldwide
Topics in multiplicative number theory by
Hugh L Montgomery(
Book
)
27 editions published between 1971 and 2008 in 5 languages and held by 476 WorldCat member libraries worldwide
27 editions published between 1971 and 2008 in 5 languages and held by 476 WorldCat member libraries worldwide
Ten lectures on the interface between analytic number theory and harmonic analysis by
Hugh L Montgomery(
Book
)
14 editions published between 1994 and 1996 in English and held by 351 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
14 editions published between 1994 and 1996 in English and held by 351 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
)
19 editions published between 2006 and 2011 in English and held by 197 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
19 editions published between 2006 and 2011 in English and held by 197 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
Multiplicative number theory by
Hugh L Montgomery(
Book
)
in English and held by 91 WorldCat member libraries worldwide
in English and held by 91 WorldCat member libraries worldwide
Early Fourier analysis by
Hugh L Montgomery(
Book
)
3 editions published in 2014 in English and held by 74 WorldCat member libraries worldwide
3 editions published in 2014 in English and held by 74 WorldCat member libraries worldwide
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
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
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
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
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
Mulʹtiplikativnaâ teoriâ čisel by
Hugh L Montgomery(
Book
)
2 editions published in 1974 in Russian and held by 2 WorldCat member libraries worldwide
2 editions published in 1974 in Russian and held by 2 WorldCat member libraries 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
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
Bank boy detective, or, The New York weasel by
Hugh L Montgomery(
Book
)
1 edition published in 1887 in English and held by 1 WorldCat member library worldwide
1 edition published in 1887 in English and held by 1 WorldCat member library worldwide
William Scoresby : Arctic explorer (17891857) by
Hugh L Montgomery(
Book
)
1 edition published in 1982 in English and held by 1 WorldCat member library worldwide
1 edition published in 1982 in English and held by 1 WorldCat member library worldwide
An introduction to the theory of number theory by
Ivan Niven(
Book
)
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
Multiplicative number theory by
Hugh L Montgomery(
Book
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Davenport, Harold 19071969 Author
 Niven, Ivan 19151999 Author
 Zuckerman, Herbert S.
 Vaughan, R. C.
 Cambridge University Press Publisher
 SpringerLink (Service en ligne)
 Mirsky, Leonid (19181983) Editor
 Bateman, Paul Trevier (1919....). Editor
 Landau, Edmund (18771938) Author
 National Science Foundation Conference Board of the Mathematical Sciences
Useful Links
Alternative Names
Hugh Montgomery Amerikaans wiskundige
Hugh Montgomery amerikansk matematikar
Hugh Montgomery amerikansk matematiker
Hugh Montgomery matematico statunitense
Hugh Montgomery mathmaticien amricain
Hugh Montgomery USamerikanischer Mathematiker
Lowell Montgomery, Hugh 1944
Montgomeri, G.
Montgomeri, G. 1944
Montgomery, H. L. 1944
Montgomery, Hugh 1944
Montgomery, Hugh L.
Montgomery, Hugh Lowell.
Montgomery, Hugh Lowell 1944
Монтгомери, Г..
هیو مونتگومری ریاضیدان آمریکایی
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