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

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.

Citation

Diamantis, N., Neururer, M., & Strömberg, F. (in press). A correspondence of modular forms and applications to values of L-series. Research in Number Theory, 1(27), https://doi.org/10.1007/s40993-015-0029-z

• 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