GTA Seminar: Kerr -- Character Sums Over Shifted Primes

Speaker: Bryce Kerr (Macquarie)

Time: Thursday, Sept. 5, 12NOON--1PM

Room: Carslaw 707A

Lunch: after the talk, at Law Annex Cafe. 

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Title: Character Sums Over Shifted Primes

Abstract: For integer $q$, let $\chi$ be a primitive character of 
the multiplicative group $\left(\mathbb{Z}/q\mathbb{Z}\right)^{*}$. 
For any integer $a$ coprime to $q$, we consider bounding the sums 
$\sum_{p\le N}\chi(p+a)$ where the above sum is over all prime 
numbers less than $N$. We show cancellation in such sum occurs in 
the range $N\ge q^{5/6+\varepsilon}$ which improves a result of 
Friedlander, Gong and Shparlinski.

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Seminar website:

http://www.maths.usyd.edu.au/u/SemConf/Geometry/