Multiplicative Number Theory I: Classical Theory

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Cambridge University Press, 2007 - Number theory
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Contents

The gamma function
520
Topics in harmonic analysis
535
I
1
The elementary theory of arithmetic functions
35
Principles and first examples of sieve methods
76
I
108
II
137
The Prime Number Theorem
168
Primitive characters and Gauss sums
282
Analytic properties of the zeta function and Lfunctions
326
II
358
Explicit formulć
397
Conditional estimates
419
Zeros
452
Oscillations of error terms
463
Name index
544

Applications of the Prime Number Theorem
199
Further discussion of the Prime Number Theorem
244
APPENDICES
xi
Subject index 550
xix

Common terms and phrases

References from web pages

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. ...
mathworld.wolfram.com/ MultiplicativeNumberTheory.html

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 [1], 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

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