TY - BOOK AU - Apostol, Tom M. TI - Introduction to analytic number theory T2 - Undergraduate texts in mathematics SN - 9780387901633 U1 - 512.73 PY - 1998/// CY - New Delhi PB - Narosa KW - Mathematics KW - Number theory N1 - "First volume of a two-volume textbook which evolved from a course (Mathematics 160) offered at the California Institute of Technology" and continued by the author's Modular functions and Dirichlet series in number theory; The fundamental theorem of arithmetic -- Arithmetical functions and Dirichlet multiplication -- Averages of arithmetical functions -- Some elementary theorems on the distribution of prime numbers -- Congruences -- Finite abelian groups and their characters -- Dirichlet's theorem on primes in arithmetic progressions -- Periodic arithmetical functions and Gauss sums -- Quadratic residues and the quadratic reciprocity law -- Primitive roots -- Dirichlet series and Euler products -- The functions [Zeta](s) and L(s, [Chi]) -- Analytic proof of the prime number theorem -- Partitions N2 - "This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory ER -