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Book Cover
E-book
Author Montgomery, Hugh L

Title Multiplicative Number Theory I : Classical Theory
Published Leiden : Cambridge University Press, 2006

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Description 1 online resource (572 pages)
Series Cambridge Studies in Advanced Mathematics ; no. 97
Cambridge studies in advanced mathematics ; no. 97.
Contents Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Notation; 1 Dirichlet series: I; 2 The elementary theory of arithmetic functions; 3 Principles and first examples of sieve methods; 4 Primes in arithmetic progressions: I; 5 Dirichlet series: II; 6 The Prime Number Theorem; 7 Applications of the Prime Number Theorem; 8 Further discussion of the Prime Number Theorem; 9 Primitive characters and Gauss sums; 10 Analytic properties of the zeta function and L-functions; 11 Primes in arithmetic progressions: II; 12 Explicit formulæ; 13 Conditional estimates; 14 Zeros
15 Oscillations of error termsAppendix A The Riemann-Stieltjes integral; Appendix B Bernoulli numbers and the Euler-Maclaurin summation formula; Appendix C The gamma function; Appendix D Topics in harmonic analysis; Name index; Subject index
Summary 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. The authors bring their extensive and distinguished research expertise to prepare the student for intelligent reading of the more advanced research literature
Notes Print version record
Subject Numbers, Prime.
Numbers, Prime
Form Electronic book
Author Vaughan, Robert C.
ISBN 9780511256455
0511256450
9780511618314
051161831X
9780521849036
0521849039
9781107405820
1107405823