3 papers
math.NT2026
Bounded gaps between primes
Julia Stadlmann
Polymath8b proved that . In this paper we show how the Bombieri-Vinogradov theorem can be combined with newer equidistribution estimates for s…
math.NT2023
On primes in arithmetic progressions and bounded gaps between many primes
Julia Stadlmann
We prove that the primes below are, on average, equidistributed in arithmetic progressions to smooth moduli of size up to . The exponent of distribution $\tfrac…
math.DS2018
Limiting stochastic processes of shift-periodic dynamical systems
Julia Stadlmann, Radek Erban
A shift-periodic map is a one-dimensional map from the real line to itself which is periodic up to a linear translation and allowed to have singularities. It is shown that iterativ…