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＜電子ブック＞
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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