Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Lucile Devin
Affiliation:

Chalmers University, Gothenburg
Date:

Wed, 23/06/2021 - 14:30 - 15:30 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 Hardyâ€“Littlewood conjectures containing a large secondary term, which fits the data very well. We will discuss the analogous question for consecutive pairs of sums of squares in arithmetic progressions, a bias also appears in the experimental data and we develop a similar heuristic model based on the Hardyâ€“Littlewood conjecture for sums of squares to explain it.

This is joint work with Chantal David, Jungbae Nam and Jeremy Schlitt.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/246