I shall be taking around 30 classes, each of it is of 90 mins duration.
The duration of the course is from 01.09.20 to 24.12.20.
Class timings:
Tuesday: 16:00 to 17:30 Friday: 14:30 to 16:00
Syllabus:
Divisibility, Arithmetic functions and applications, Congruences, Counting primes and their distribution,
Arithmetic of quadratic extensions (units and prime factorization), Structure of units,
Dirichlet L-functions, Finite fields, Equations over finite fields, Quadratic Reciprocity law.
Pre-requisites:
MA4020, MA4070
Main References:
Burton, David M. Elementary number theory. Second edition. W. C. Brown Publishers, Dubuque, IA, 1989.
Ireland, Kenneth; Rosen, Michael. A classical introduction to modern number theory. Second edition. Graduate Texts in Mathematics, 84. Springer-Verlag, New York, 1990.