Michael Kural

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math.NT2019

Patterns of primes in the Sato-Tate conjecture

Nate Gillman, Michael Kural, Alexandru Pascadi +2

Fix a non-CM elliptic curve $E / Q$ , and let $a_{E} (p) = p + 1 - # E (F_{p})$ denote the trace of Frobenius at $p$ . The Sato-Tate conjecture gives the limiting distribut…

math.NT2019

Möbius formulas for densities of sets of prime ideals

Michael Kural, Vaughan McDonald, Ashwin Sah

We generalize results of Alladi, Dawsey, and Sweeting and Woo for Chebotarev densities to general densities of sets of primes. We show that if $K$ is a number field and $S$ is any…