Multiplicative Number Theory I: Classical Theory
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.
What people are saying - Write a review
The gamma function
Topics in harmonic analysis
The elementary theory of arithmetic functions
Principles and first examples of sieve methods
The Prime Number Theorem
Primitive characters and Gauss sums
Analytic properties of the zeta function and Lfunctions
Oscillations of error terms
Applications of the Prime Number Theorem
Further discussion of the Prime Number Theorem
Subject index 550
Other editions - View all
11N: Multiplicative number theory
Davenport, Harold: "Multiplicative number theory", Graduate Texts in Mathematics, 74. Springer-Verlag, New York-Berlin, 1980. 177 pp. ISBN 0-387-90533-2 ...
www.math.niu.edu/ ~rusin/ known-math/ index/ 11NXX.html
Multiplicative Number Theory -- from Wolfram mathworld
Davenport, H. Multiplicative Number Theory, 2nd ed. New York: Springer-Verlag, p. 110, 1980. Montgomery, hl Topics in Multiplicative Number Theory. ...
Analytic number theory - Wikipedia, the free encyclopedia
Multiplicative number theory deals with the distribution of the prime numbers, applying Dirichlet series as generating functions. ...
en.wikipedia.org/ wiki/ Analytic_number_theory
6 x 10.5 Long Title.P65
topics met in first courses on multiplicative number theory and the distribution ... 97 hl Montgomery & R. C Vaughan Multiplicative Number Theory I ...
assets.cambridge.org/ 97805218/ 49036/ frontmatter/ 9780521849036_frontmatter.pdf
A BIBLIOGRAPHY FOR ANALYTIC NUMBER THEORY
Multiplicative number theory I. Classical the-. ory, Cambridge Studies in Advanced ... Multiplicative number theory, with a preface by Hugh L. Montgomery, ...
www.ufr-mi.u-bordeaux.fr/ ~kowalski/ ictp/ bibliography-ictp.pdf
Review: K. Chandrasekharan, Introduction to analytic number theory ...
Harold Davenport, Multiplicative number theory. Markham, 1967. H. Halberstam, kf Roth, Sequences. Oxford University Press, 1966 ...
projecteuclid.org/ handle/ euclid.bams/ 1183533164
planetmath: bibliography for number theory
Davenport, Multiplicative number theory. Markham Publishing Comp. ... Carefully written and motivated introduction to the multiplicative number theory. ...
planetmath.org/ encyclopedia/ BibliographyForNumberTheory.html
Read This: The Prime Number Theorem
To teach it the way I prefer, following Davenport and Montgomery's treatment in Multiplicative Number Theory , is out of the question for an ...
www.maa.org/ reviews/ primenumbertheorem.html
MIT opencourseware | Mathematics | 18.785 Analytic Number Theory ...
Multiplicative Number Theory. New York, NY: Springer-Verlag, 2000. ISBN: 9780387950976. Amazon logo Iwaniec, Henryk, and Emmanuel Kowalski. ...
ocw.mit.edu/ OcwWeb/ Mathematics/ 18-785Spring-2007/ Readings/ index.htm
contains the excellent biography by gb Seligman, the bibliography ...
hand) and his main purpose in writing Multiplicative number theory was ... The new revised edition of Multiplicative number theory is particularly welcome, ...
blms.oxfordjournals.org/ cgi/ reprint/ 14/ 4/ 362.pdf