Some aspects of probabilistic number theory University of Bordeaux
This course will focus on some striking examples whereprobability theory offers a convenient language as well as efficienttools to prove number theoretic statements that would otherwise behard to comprehend and rigorously establish. The topics thatwe will address include: -The Theorem of Erdös-Kac on the distribution of the number ofprime factors of a random integer, -Selberg’s Theorem on the distribution of the imaginary parts ofthe criticalzeros of the Riemann Zeta function, -Inequities in the distribution of primes beyond the Prime NumberTheorem for arithmetic progressions (the so-called « Chebyshevbias »),as well as recent generalizations of that question. -Theorem for arithmetic progressions (the so-called« Chebyshevbias »), as well as recent generalizations of thatquestion.
Online Course Requirement
_Please note that the number of places available may be limited forcertain 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: EnglishMode of delivery: Face-to-face teaching
Site for Inquiry
Please inquire about the courses at the address below.
Contact person: Florent Jouveflorent.email@example.com