Jan Büthe
Office
Endenicher Allee 60, room 1.025
Phone: +49 (0) 228 73-62270
E-mail: jbuethe(at)math.uni-bonn.de
Research Interests
I am a postdoc interested in number theory. In my thesis , which I wrote under supervision of Prof. Dr. Jens Franke, I have been concerned with questions related to partial numerical verifications of the Riemann hypothesis. I am currently interested in the analytic theory of L-functions.
Teaching
- Mathematik III für Physiker, WS 13/14 (teaching assistant)
- Einführung in die Komplexe Analysis, SS 14 (teaching assistant)
Publications
- (with J. Franke, T. Kleinjung and A. Jost) Some applications of the Weil-Barner explicit formula. 2013, Math. Nachr., 286: 536-549.
- A method for proving the completeness of a list of zeros of certain L-functions, 2013, Math. Comp., 84: 2413-2431. preprint version: arXiv:1308.6704
- A Brun-Titchmarsh Inequality for weighted sums over prime numbers, 2014, Acta Arith., 166(3): 289-299. preprint version: arXiv:1410.7561
- (with J. Franke, T. Kleinjung and A. Jost) A practical analytic method for calculating $\pi(x)$ . accepted for publication in Math. Comp.
- Estimating $\pi(x)$ and related functions under partial RH assumptions, accepted for publication in Math. Comp. preprint version: arXiv:1410.7015
- On the first sign change in Mertens' theorem, 2015, Acta Arith., 171(2): 183-195. preprint version: arXiv:1503.01277
- An improved analytic method for calculating $\pi(x)$, accepted for publication in Manuscripta Mathematica. preprint version: arXiv:1410.7008
News
Bonn mathematics performs excellently again in QS ranking
Stefan Schwede is invited speaker at the ECM 2024 in Sevilla
Jessica Fintzen wins Cole Prize
Regula Krapf receives university teaching award
Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts
Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Grants for Mathematics students from Ukraine
Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Peter Scholze elected as Foreign Member of the Royal Society