David Lowry-Duda

most citedA Short Note on Gaps between Powers of Consecutive Primes

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

collaborators

Showing math.NTShow all

5 papers · 1 filter

math.NT2024

Murmurations of Maass forms

Andrew R. Booker, Min Lee, David Lowry-Duda +2

We prove the existence of murmurations in the family of Maass forms of weight 0 and level 1 with their Laplace eigenvalue parameter going to infinity (i.e., correlations between th…

math.NT2021

Prime Sums

Anupam Datta, Nir Elber, Raymond Feng +2

We study the properties of certain graphs involving the sums of primes. Their structure largely turns out to relate to the distribution of prime gaps and can be roughly seen in Cra…

math.NT2021

Sign changes of cusp form coefficients on indices that are sums of two squares

David Lowry-Duda

We study sign changes in the sequence ${A (n) : n = c^{2} + d^{2}}$ , where $A (n)$ are the coefficients of a holomorphic cuspidal Hecke eigenform. After proving a variant of an axiom…

math.NT2017★ 3 cited

A Short Note on Gaps between Powers of Consecutive Primes

David Lowry-Duda

Let $α, β \geq 0$ and $α + β < 1$ . In this short note, we show that $lim inf_{n \to \infty} p_{n}^{β} (p_{n + 1}^{α} - p_{n}^{α}) = 0$ , where $p_{n}$ is the $n$ th prime. This notes an improvement ove…

math.NT2017

On Some Variants of the Gauss Circle Problem

David Lowry-Duda

The Gauss Circle Problem concerns finding asymptotics for the number of lattice point lying inside a circle in terms of the radius of the circle. The heuristic that the number of p…