01553nam a2200205 a 4500020001800000020001600018020001900034020001500053082001600068100002000084245004300104260003100147300002100178490004000199500022700239505058900466520025601055650001701311650001901328 a9780387901633 a0387901639 a9788185015125 a8185015120 a512.73bAPO aApostol, Tom M. aIntroduction to analytic number theory aNew Delhi:bNarosa,c1998. axii, 338 pages ; aUndergraduate texts in mathematics. a"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. aThe 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. a"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. aMathematics. aNumber theory.