# Prime polynomial values of linear functions in short intervals

Seminar

Speaker

Efrat Bank (Tel Aviv University)

Date

21/01/2015 - 11:30 - 10:30Add to Calendar

`2015-01-21 10:30:00``2015-01-21 11:30:00``Prime polynomial values of linear functions in short intervals``In this talk I will present a function field analogue of a conjecture in number theory. This conjecture is a combination of several famous conjectures, including the Hardy-Littlewood prime tuple conjecture, conjectures on the number of primes in arithmetic progressions and in short intervals, and the Goldbach conjecture. I prove an asymptotic formula for the number of simultaneous prime values of $n$ linear functions, in the limit of a large finite field. A key role is played by the computation of some Galois groups.``Third floor seminar room``אוניברסיטת בר-אילן - Department of Mathematics``mathoffice@math.biu.ac.il``Asia/Jerusalem``public`Place

Third floor seminar room

Abstract

In this talk I will present a function field analogue of a conjecture in number theory. This conjecture is a combination of several famous conjectures, including the Hardy-Littlewood prime tuple conjecture, conjectures on the number of primes in arithmetic progressions and in short intervals, and the Goldbach conjecture. I prove an asymptotic formula for the number of simultaneous prime values of $n$ linear functions, in the limit of a large finite field.

A key role is played by the computation of some Galois groups.

Last Updated Date : 14/01/2015