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Multiplicative Number Theory I : = C...

Montgomery, Hugh L.

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Multiplicative Number Theory I : = Classical Theory.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Multiplicative Number Theory I :/
其他題名:	Classical Theory.
作者:	Montgomery, Hugh L.
其他作者:	Vaughan, Robert C.
出版者:	Leiden :Cambridge University Press, : 2006.,
面頁冊數:	572 p.
內容註:	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 formula; 13 Conditional estimates; 14 Zeros
內容註:	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
電子資源:	http://dx.doi.org/10.1017/CBO9780511618314Click here to view book
ISBN:	9780511618314 (electronic bk.)

Multiplicative Number Theory I : = Classical Theory.
Montgomery, Hugh L.

Multiplicative Number Theory I :Classical Theory.[electronic resource]. - Leiden :Cambridge University Press,2006. - 572 p.

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 formula; 13 Conditional estimates; 14 Zeros

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.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511618314 (electronic bk.)Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA246 . / M75 2007

Dewey Class. No.: 512.723

Multiplicative Number Theory I : = Classical Theory.
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