Jesse Thorner

activity

20132026

most citedBounded Gaps Between Primes in Chebotarev Sets

36 citations · 318 across the 41 of their papers we have counts for

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Showing 2014Show all

4 papers · 1 filter

math.NT2014★ 12 cited

The Error Term in the Sato-Tate Conjecture

Jesse Thorner

Let $f (z) = \sum_{n = 1}^{\infty} a (n) e^{2 π in z} \in S_{k}^{n e w} (Γ_{0} (N))$ be a newform of even weight $k \geq 2$ that does not have complex multiplication. Then $a (n) \in R$ for all $n…

math.NT2014★ 3 cited

Benford's Law for Coefficients of Newforms

Marie Jameson, Jesse Thorner, Lynnelle Ye

Let $f (z) = \sum_{n = 1}^{\infty} λ_{f} (n) e^{2 π in z} \in S_{k}^{n e w} (Γ_{0} (N))$ be a normalized Hecke eigenform of even weight $k \geq 2$ on $Γ_{0} (N)$ without complex multiplication. Let $\math…

math.NT2014★ 2 cited

A variant of the Bombieri-Vinogradov theorem in short intervals with applications

Jesse Thorner

We generalize the classical Bombieri-Vinogradov theorem to a short interval, non-abelian setting. This leads to variants of the prime number theorem for short intervals where the p…

math.NT2014★ 36 cited

Bounded Gaps Between Primes in Chebotarev Sets

Jesse Thorner

A new and exciting breakthrough due to Maynard establishes that there exist infinitely many pairs of distinct primes $p_{1}, p_{2}$ with $∣ p_{1} - p_{2} ∣ \leq 600$ as a consequence of the Bomb…