Michael Kural

activity

20182025

most citedPatterns of primes in the Sato-Tate conjecture

3 citations · 3 across the 3 of their papers we have counts for

collaborators

5 papers

math.NT2025

The geometry of secondary terms in arithmetic statistics

Michael Kural

In this thesis, we prove the existence of a secondary term for the count of cubic extensions of the function field $F_{q} (t)$ of fixed absolute norm of discriminant. We show…

math.NT2019★ 3 cited

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…

math.CO2018

Fuss-Schröder Paths and Rooted Plane Forests

Michael Kural

We describe a bijection between $(k, k)$ -Fuss-Schröder paths of type $λ$ and certain rooted plane forests with $n (k + 1) + 2$ vertices. This yields a recursion which allows us to analyt…

math.NT2018

Dedekind Sums with Even Denominators

Michael Kural

Let $S (a, b)$ denote the normalized Dedekind sum. We study the range of possible values for $S (a, b) = \frac{k}{q}$ with $g cd (k, q) = 1$ . Girstmair proved local restrictions on $k$ depen…