# Course

## M656 - Introduction to Number Theory

Course No:
M656
Credit:
4
Approval:
PG-Elective
Syllabus:

The Fundamental Theorem of Arithmetic, Distribution of prime numbers, Congruences, Chinese remainder theorem, Congruences with prime-power modulus, Fermat's little theorem, Wilson's theorem, Euler function and its applications, Group of units, Primitive roots, Quadratic residues and Quadratic reciprocity law, Arithmetic functions, Mobius Inversion formula, Dirichlet product, Sum of squares, Introduction to Zeta function and Dirichlet Series.

Reference Books:
1. G. H. Hardy & E. M. Wright: An Introduction to the Theory of Numbers (Oxford).
2. J. A. Jones and J. M. Jones: Elementary Number Theory (Springer).
3. I. Niven, H. S. Zuckerman & H. L. Montgomery: The Theory of Numbers (Wiley)
4. T. M. Apostol: Introduction to Analytic Number Theory (Springer)