Elementary Number Theory

Class overview

This lecture course will provide basic concepts of number theory for mathematical students.

Organization:

+ 3 hours/ week (including exercise sessions)

+ Time: Tuesday (09:00-12:00) -- Math T

                   Friday (9:00-12:00) -- Math A&B (3)

+ Room: G.II.3 and D.III.4

+ written or oral final examination (90 minutes)

Contents

• Chapter I: The Integers

• Chapter II: Number-Theoretic Functions

• Chapter III: Introduction to Congruences

• Chapter IV: Systems of Congruences

Literature

[1] D. M. Burton, Elementary Number Theory, 7th-Edition, McGraw-Hill, New York, 2011.

[2] K. H. Rosen, Elementary number theory and its applications, 6-th-Edition, Pearson, 2011.

[3] PD Dong, TNK Linh, LN Long, DH Tuan, Elementary Number Theory, Hue Universitz of Education, Preparation 2024.

Exercises

• Exercise Sheet 01

• Exercise Sheet 02

• Exercise Sheet 03

• Exercise Sheet 04

• Exercise Sheet 05

• ...