Introduction, Divisibility, Primes.
Congruences, solutions of congruences, the Chinese Remainder theorem- Prime power moduli, Prime modulus
Primitive Roots and power Residues-Congruences of degree two, prime modulus, Number theory from an algebraic view point , Groups, Rings and fields, quadratic residues.
Quadratic reciprocity – The Jacobi Symbol – Greatest integer function.
Arithmetic functions – The Moebius Inversion formula – The multiplication of arithmetic functions –Recurrence functions
Reference Book:
1. T.M. Apostol, Introduction to Analytic Number Theory, Springer International Student Edition, Eighth Reprint, 1998, Narosa Publishing House. 2. Kennath and Rosan, A Classical Introduction to modern number theory, Second Edition, Springer, Second Indian Reprint, 2005. 3. George E. Andrews, Number Theory, Dover Publisher, 1994.
Text Book:
An Introduction to Theory of Numbers by Ivan Nivan and Herberts Zucherman. Fifth Edition Reprint, 2012, Wiley Eastern Limited, New Delhi
