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

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Research in Number Theory20151:27

Received: 24 April 2015

Accepted: 27 October 2015

Published: 21 December 2015


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.


  • L-functions
  • Derivatives of L-functions
  • Eisenstein series