Posted in
Speaker:
Lucile Devin
Affiliation:
Chalmers University, Gothenburg
Date:
Wed, 23/06/2021 - 14:30 - 15:30
Parent event:
Number theory lunch seminar 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 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 Hardy–Littlewood conjecture for sums of squares to explain it.
This is joint work with Chantal David, Jungbae Nam and Jeremy Schlitt.
© MPI f. Mathematik, Bonn | Impressum & Datenschutz |