一、题目：

Lemke Oliver and Soundararajan bias for sums of two squares

二、主讲人：

Lucile Devin

三、摘要：

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.

四、主讲人简介：

Lucile Devin, received PhD at the Université Paris-Sud (also known as Paris XI) in 2017, then worked at the University of Ottawa, CRM in Montreal, and Chalmers University of Technology -- Gothenburg University. Her papers are published at Advances in Mathematics, Math. Ann., IMRN etc.

五、邀请人：

孟宪昌 数学学院教授

六：时间：

4月11日（周一）16:00-17:00

七、地点：

Zoom会议

八、主办方：

山东大学数学学院