Joshua Stucky

activity

20202024

collaborators

3 papers

math.NT2024

Non-vanishing for cubic Hecke $L$ -functions

Chantal David, Alexandre de Faveri, Alexander Dunn +1

Let $ω$ be a primitive cubic root of unity. We study the non-vanishing problem for the family of Hecke $L$ -functions associated to primitive cubic characters defined over the Eisen…

math.NT2021

The fractional sum of small arithmetic functions

Joshua Stucky

Motivated by recent results, we study sums of the form $S_{f} (x) = \sum_{n \leq x} f (⌊ \frac{x}{n} ⌋)$ , where $f$ is an arithmetic function and $\left…

math.NT2020

Gaussian Primes in Narrow Sectors

Joshua Stucky

We generalize a Theorem of Ricci and count Gaussian primes $p$ with short interval restrictions on both the norm and the argument of $p$ .

Non-vanishing for cubic Hecke L-functions

The fractional sum of small arithmetic functions

Gaussian Primes in Narrow Sectors

Non-vanishing for cubic Hecke $L$ -functions