Course

M207 - Number Theory

Course No: 
M207
Credit: 
4
Prerequisites: 
M101
Approval: 
2014
UG-Core
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: 
  1. I. Niven, H. S. Zuckerman, H. L. Montgomery, “An Introduction to the Theory of Numbers”, Wiley-India Edition, 2008.
Reference Books: 
  1. T. M. Apostol, “Introduction to Analytic Number Theory”, Springer International Student Edition, 2000. 
  2. G. A. Jones, J. M. Jones, “Elementary Number Theory”, Springer Undergraduate Mathematics Series. Springer-Verlag, 1998.

Contact us

School of Mathematical Sciences

NISERPO- Bhimpur-PadanpurVia- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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