Open Access

A correspondence of modular forms and applications to values of L-series

  • Nikolaos Diamantis1Email author,
  • Michael Neururer1 and
  • Fredrik Strömberg1
Research in Number Theory20151:27

https://doi.org/10.1007/s40993-015-0029-z

Received: 24 April 2015

Accepted: 27 October 2015

Published: 21 December 2015

Abstract

A interpretation of the Rogers–Zudilin approach to the Boyd conjectures is established. This is based on a correspondence of modular forms which is of independent interest. We use the reinterpretation for two applications to values of L-series and values of their derivatives.

Keywords

L-functions Derivatives of L-functions Eisenstein series