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Lemke Oliver and Soundararajan bias for sums of two squares

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Lucile Devin
Chalmers University, Gothenburg
Mit, 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.

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