Julia Stadlmann

activity

20182026

most citedOn the mean square gap between primes

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

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2026

Bounded gaps between primes

Julia Stadlmann

Polymath8b proved that $H_{1} = lim inf (p_{n + 1} - p_{n}) \leq 246$ . In this paper we show how the Bombieri-Vinogradov theorem can be combined with newer equidistribution estimates for s…

math.NT2023★ 1 cited

On primes in arithmetic progressions and bounded gaps between many primes

Julia Stadlmann

We prove that the primes below $x$ are, on average, equidistributed in arithmetic progressions to smooth moduli of size up to $x^{1/2 + 1/40 - ε}$ . The exponent of distribution $\tfrac…

math.NT2022★ 2 cited

On the mean square gap between primes

Julia Stadlmann

We prove that the average size of the squares of differences between consecutive primes less than $x$ is $O (x^{0.23 + ε})$ for any fixed $ε > 0$ . This improves on a…