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 -