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Chebyshev Bias and sums of squares
Algebraic Geometry and Number Theory| Speaker: | Lucile Devin, Université du Littoral Côte d'Opale |
| Related Webpage: | https://www-lmpa.univ-littoral.fr/~ldevin/ |
| Location: | 2112 MSB |
| Start time: | Mon, Nov 24 2025, 1:10PM |
Chebyshev observed a bias in the distribution of primes in congruence classes, despite the fact that there are asymptotically the same amount of prime congruent to 3 or 1 modulo 4, it appears that the first class is more often represented. Inspired by this observation, we study secondary terms in various theorems on distribution of prime numbers. In particular, I will present a "prime number race" that looks even more biased than Chebyshev's, it is related to writing certain primes as sum of two squares.