Ruprecht-Karls-Universität Heidelberg

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

 

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




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