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  • Open Access

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

  • 1Email author,
  • 1 and
  • 1
Research in Number Theory20151:27

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

  • Received: 24 April 2015
  • Accepted: 27 October 2015
  • Published:

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

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