Introduction to analytic number theory
Apostol, Tom M.
creator
text
New Delhi
Narosa
1998
monographic
xii, 338 pages ;
"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.
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.
"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.
Mathematics
Number theory
512.73 APO
9780387901633
0387901639
9788185015125
8185015120