Johann Franke
Ruprecht-Karls-Universität Heidelberg
Mathematisches Institut
Im Neuenheimer Feld 205
69120 Heidelberg
Room 03.323
E-Mail:
jfranke
Telefon: +49-6221-54-14215
Consultation: by appointment
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CV
Research interests
- Complex analysis
- Modular forms and L-functions
- Analytic and algebraic number theory
Publications and Preprints
- Infinite series representations for Dirichlet L-functions at
rational arguments
(link) , The Ramanujan Journal, Volume 46, Issue 1, p. 91-102, 2018.
- Ramanujan identities of higher degree
(link) , accepted in Research in Number Theory (August 2018).
- Rational functions and Modular forms
(link) , submitted.
- Rational functions, Cotangent sums and Eichler integrals (link) , submitted.
- A dominated convergence theorem for Eisenstein series
(link) , submitted.
- Inverse functions for Dirichlet series. (in progress!)
- A geometric interpretation for certain values of L-functions. (in progress!)
Conferences (selection)
- Sommerakademie der Studienstiftung about Elliptic curves and BSC (20.08. until
02.09.2017)
- Building Bridges IV - Workshop on Automorphic forms in Budapest (16.07. until
20.07.2018)
- ELAZ (Elementare und analytische Zahlentheorie) in Bonn (03.09. until
07.09.2018)
BA and MA thesis
- Die Zirkelmethode und ihre Anwendung auf das Waringsche Problem
(BA)
(pdf) , April 2016.
- Infinite series representations for Dirichlet L-Functions at
rational arguments (MA)
(pdf) , Juni 2017.
Teaching
Summer term 2018
Past terms
Seite bearbeitet von
jfranke,
letzte Änderung: 25-09-2017
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