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Analytic number theory : exploring the anatomy of integers / Jean-Marie De Koninck, Florian Luca
(Graduate Studies in Mathematics ; v. 134)

出版者 Providence, R.I : American Mathematical Society
出版年 c2012
大きさ 1 online resource (xviii, 414 p. : ill.)
著者標目 *Koninck, J. M. de 1948-
Luca, Florian
件 名 LCSH:Number theory
LCSH:Euclidean algorithm
LCSH:Integrals
FREE:Number theory -- Elementary number theory -- Multiplicative structure; Euclidean algorithm; greatest common divisors  全ての件名で検索
FREE:Number theory -- Elementary number theory -- Primes  全ての件名で検索
FREE:Number theory -- Sequences and sets -- Density, gaps, topology  全ての件名で検索
FREE:Number theory -- Sequences and sets -- Fibonacci and Lucas numbers and polynomials and generalizations  全ての件名で検索
FREE:Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Arithmetic functions  全ての件名で検索
FREE:Number theory -- Multiplicative number theory -- Distribution of primes  全ての件名で検索
FREE:Number theory -- Multiplicative number theory -- Primes in progressions  全ての件名で検索
FREE:Number theory -- Multiplicative number theory -- Sieves  全ての件名で検索
FREE:Number theory -- Multiplicative number theory -- Asymptotic results on arithmetic functions  全ての件名で検索
FREE:Number theory -- Multiplicative number theory -- Distribution functions associated with additive and positive multiplicative functions  全ての件名で検索
内容注記 Chapter 1. Preliminary notions
Chapter 2. Prime numbers and their properties
Chapter 3. The Riemann zeta function
Chapter 4. Setting the stage for the proof of the prime number theorem
Chapter 5. The proof of the prime number theorem
Chapter 6. The global behavior of arithmetic functions
Chapter 7. The local behavior of arithmetic functions
Chapter 8. The fascinating Euler function
Chapter 9. Smooth numbers
Chapter 10. The Hardy-Ramanujan and Landau theorems
Chapter 11. The $abc$ conjecture and some of its applications
Chapter 12. Sieve methods
Chapter 13. Prime numbers in arithmetic progression
Chapter 14. Characters and the Dirichlet theorem
Chapter 15. Selected applications of primes in arithmetic progression
Chapter 16. The index of composition of an integer
Appendix. Basic complex analysis theory
Solutions to even-numbered problems
一般注記 Includes bibliographical references (p. 405-409) and index
Access is restricted to licensed institutions
Electronic reproduction Providence, Rhode Island American Mathematical Society 2012
Mode of access : World Wide Web
Description based on print version record
HTTP:URL=http://www.ams.org/gsm/134 Information=Contents
HTTP:URL=https://doi.org/10.1090/gsm/134 Information=Contents
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Graduate studies in mathematics 9780821885413
電子リソース
EB00103040

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データ種別 電子ブック
分 類 LCC:QA241
DC23:512.7/4
書誌ID 4000113054
ISBN 9780821885413

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