Teaching

M207-Number Theory

Academic Year: 
Semester: 
Aims and objectives: 

This course is intended to introduce the number theory to the students. This course is elementary.

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.

The total marks (100) is broken as Quiz (30), Mid term (30) and Final term (40).There will be four quizzes containing 10 marks each. Best three will be considered.

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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