Elementary Methods in Number Theory

• Main Author: Nathanson, Melvyn B. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2000.
• Series: Graduate Texts in Mathematics, 195
• Subjects: Mathematics.; Number theory.; 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 disc...

Table of Contents:

• A First Course in Number Theory
• Divisibility and Primes
• Congruences
• Primitive Roots and Quadratic Reciprocity
• Fourier Analysis on Finite Abelian Groups
• The abc Conjecture
• Divisors and Primes in Multiplicative Number Theory
• Arithmetic Functions
• Divisor Functions
• Prime Numbers
• The Prime Number Theorem
• Primes in Arithmetic Progressions
• Three Problems in Additive Number Theory
• Waring’s Problem
• Sums of Sequences of Polynomials
• Liouville’s Identity
• Sums of an Even Number of Squares
• Partition Asymptotics
• An Inverse Theorem for Partitions.