Elementary methods in number theory
"Elementary Methods in Number Theory begins with "a first course in number theory" for students with no previous knowledge of the subject. The main topics are divisibility, prime numbers, and congruences. There is also an introduction to Fourier analysis on finite abelian groups, and a discussion of the abc conjecture and its consequences in elementary number theory."--Jacket
xviii, 513 pages ; 24 cm
9780387989129, 0387989129
42061097
I.A First Course in Number Theory
1. Divisibility and Primes
2. Congruences
3. Primitive Roots and Quadratic Reciprocity
4. Fourier Analysis on Finite Abelian Groups
5. The abc Conjecture
II. Divisors and Primes in Multiplicative Number Theory
6. Arithmetic Functions
7. Divisor Functions
8. Prime Numbers
9. The Prime Number Theorem
10. Primes in Arithmetic Progressions
III. Three Problems in Additive Number Theory
11. Waring's Problem
12. Sums of Sequences of Polynomials
13. Liouville's Identity
14. Sums of an Even Number of Squares
15. Partition Asymptotics
16. An Inverse Theorem for Partitions