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

Diamantis, Nikolaos; Neururer, Michael; Str�mberg, Fredrik

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Authors

Michael Neururer



Abstract

An 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.

Journal Article Type Article
Acceptance Date Oct 27, 2015
Online Publication Date Dec 21, 2015
Deposit Date Jul 21, 2015
Publicly Available Date Dec 21, 2015
Journal Research in Number Theory
Electronic ISSN 2363-9555
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 1
Issue 27
DOI https://doi.org/10.1007/s40993-015-0029-z
Keywords L-functions, Derivatives of L-functions, Eisenstein series
Public URL https://nottingham-repository.worktribe.com/output/768877
Publisher URL https://link.springer.com/article/10.1007%2Fs40993-015-0029-z

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