MATH-313 / 5 credits

Teacher(s): Lin Yongxiao, Raju Chandra Sekhar

Language: English


Summary

The aim of this course is to present the basic techniques of analytic number theory.

Content

Learning Prerequisites

Required courses

  • Analyse I, II, III
  • Algèbre Linéaire I, II
  • Algèbre I

Learning Outcomes

By the end of the course, the student must be able to:

  • Analyse and solve a basic problem from analytic number theory.

Teaching methods

Ex cathedra lecture with exercises.

Expected student activities

Proactive attitude during the course and the exercise sessions, possibly with individual presentation of the solution of exercise problems.

Assessment methods

Written exam.

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

Supervision

Office hours No
Assistants Yes
Forum No

Resources

Bibliography

  • Introduction to Analytic Number Theory, T. M. Apostol
  • A Course in Arithmetic, J.-P. Serre
  • Multiplicative Number Theory, H. Davenport
  • Multiplicative Number Theory I. Classical Theory, H. L. Montgomery & R. C. Vaughan

Ressources en bibliothèque

Prerequisite for

MATH-417 Topics in Number Theory

In the programs

  • Semester: Fall
  • Exam form: Written (winter session)
  • Subject examined: Introduction to analytic number theory
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11   MAA331MAA331
11-12   
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     

Thursday, 10h - 12h: Lecture MAA331

Friday, 10h - 12h: Exercise, TP MAA331