most citedImproving on the Brun-Titchmarsh Theorem

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

collaborators

4 papers

math.NT2026★ 3 cited

Improving on the Brun-Titchmarsh Theorem

Olvier Ramaré, Jan Christoph Schlage-Puchta

We prove that the number of primes in an interval of length is at most when is large enough. This is obtained through a sieving process which can be seen…

math.CV2026

Newman's Tauberian theorem, the Riemann-Lebesgue Lemma, and abstract analytic number theory

Jan-Christoph Schlage-Puchta, Christoph Schwerdt

We give a generalized and effective version of Bekehermes' improvement of Newman's Tauberian theorem. To do so we prove an effective version of the Riemann-Lebesgue Lemma for funct…

math.NT2025

On a Problem by Erdős and Mirsky on the ratio of the number of divisors of consecutive integers

Jan-Christoph Schlage-Puchta

Let be the closure of the set of all real numbers , such that there exist infinitely many integers , such that , where is the n…

math.GR2025

The normal growth of linear groups over formal power serieses

Yiftach Barnea, Jan-Christoph Schlage-Puchta

Put $R=\F[[t_1, \ldots, t_d]])$. We estimate the number of normal subgroups of $\mathrm{SL}_2^1(\F[[t_1, \ldots, t_d]])$ for , the number of ideals in the Lie algebra $\Lie(R)…