TY - BOOK AU - Koninck,Jean-Marie De AU - Luca,Florian TI - Analytic Number Theory: Exploring the Anatomy of Integers T2 - Graduate studies in mathematics SN - 9780821875773 (paper) U1 - 512.74 K836A 23 PY - 2012/// CY - Providence, R.I. PB - American Mathematical Society KW - Number theory KW - Euclidean algorithm KW - Integrals KW - Number theory -- Elementary number theory -- Multiplicative structure; Euclidean algorithm; greatest common divisors KW - msc KW - Number theory -- Elementary number theory -- Primes KW - Number theory -- Sequences and sets -- Density, gaps, topology KW - Number theory -- Sequences and sets -- Fibonacci and Lucas numbers and polynomials and generalizations KW - Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Arithmetic functions KW - Number theory -- Multiplicative number theory -- Distribution of primes KW - Number theory -- Multiplicative number theory -- Primes in progressions KW - Number theory -- Multiplicative number theory -- Sieves KW - Number theory -- Multiplicative number theory -- Asymptotic results on arithmetic functions KW - Number theory -- Multiplicative number theory -- Distribution functions associated with additive and positive multiplicative functions N1 - Includes bibliographical references (p. 405-409) and index ER -