Course No
M207
Credit
4
Syllabus
Divisibility, Primes, Fundamental theorem of arithmetic, Congruences, Chinese remainder theorem, Linear congruences, Congruences with prime-power modulus, Fermat’s little theorem, Wilson’s theorem, Euler function and its applications, Group of units, primitive roots, Quadratic residues, Jacobi symbol, Binary quadratic form, Arithmetic functions, M ̈obius Inversion formula, Dirichlet product, Sum of squares, Continued fractions and rational approximations.
Text Books
- I. Niven, H. S. Zuckerman, H. L. Montgomery, “An Introduction to the Theory of Numbers”, Wiley-India Edition, 2008.
Reference Books
- T. M. Apostol, “Introduction to Analytic Number Theory”, Springer International Student Edition, 2000.
- G. A. Jones, J. M. Jones, “Elementary Number Theory”, Springer Undergraduate Mathematics Series. Springer-Verlag, 1998.