Speaker: Lucile Devin, PhD at the Université Paris-Sud

Date: Apr. 11, 2022

Time: 16:00-17:00

Location: Zoom Meeting

Sponsor: School of Mathematics, Shandong University

Abstract:

Recently Lemke Oliver and Soundararajan noticed how experimental data exhibits erratic distributions for consecutive pairs of primes in arithmetic progressions, and proposed a heuristic model based on the Hardy–Littlewood conjectures containing a large secondary term, which fits the data very well. We will discuss the analogue question for the distribution of consecutive pairs of sums of two squares in arithmetic progressions, a bias also appears in the experimental data, and we develop a similar heuristic model based on the Hardy–Littlewood conjecture for sums of squares to explain it. This is joint work with Chantal David, Jungbae Nam and Jeremy Schlitt.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/163949.htm