Course Overview

Learning Achievement

Competence

Course prerequisites

Grading Philosophy

Course schedule

This course will focus on some striking examples where
probability theory offers a convenient language as well as efficient
tools to prove number theoretic statements that would otherwise be
hard to comprehend and rigorously establish. The topics that
we will address include:

-
The Theorem of Erdös-Kac on the distribution of the number of
prime factors of a random integer,

-
Selberg’s Theorem on the distribution of the imaginary parts of
the criticalzeros of the Riemann Zeta function,

-
Inequities in the distribution of primes beyond the Prime Number
Theorem for arithmetic progressions (the so-called « Chebyshev
bias »),as well as recent generalizations of that question.

-
Theorem for arithmetic progressions (the so-called
« Chebyshevbias »), as well as recent generalizations of that
question.

Course type

Lectures

Online Course Requirement

Instructor

Other information

_Please note that the number of places available may be limited for
certain classes._

This is acourse of the M2ALGANT(Algebra,eometry and Number Theory).
For more information about this Master visit the webpage: 
[https://uf-mi.u-bordeaux.fr/algant/]https://uf-mi.u-bordeaux.fr/algant/
[https://uf-mi.u-bordeaux.fr/algant/]

Duration: 12 weeks (fall semester)

Language of instruction: English
Mode of delivery: Face-to-face teaching

Site for Inquiry