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

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.

Bibliographic Details
Main Authors: Diamantis, Nikolaos, Neururer, Michael, Strömberg, Fredrik
Format: Article
Published: SpringerOpen 2015
Subjects:
Online Access:https://eprints.nottingham.ac.uk/29316/
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author Diamantis, Nikolaos
Neururer, Michael
Strömberg, Fredrik
author_facet Diamantis, Nikolaos
Neururer, Michael
Strömberg, Fredrik
author_sort Diamantis, Nikolaos
building Nottingham Research Data Repository
collection Online Access
description 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.
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institution University of Nottingham Malaysia Campus
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spelling nottingham-293162020-05-04T17:26:07Z https://eprints.nottingham.ac.uk/29316/ A correspondence of modular forms and applications to values of L-series Diamantis, Nikolaos Neururer, Michael Strömberg, Fredrik 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. SpringerOpen 2015-12-21 Article PeerReviewed Diamantis, Nikolaos, Neururer, Michael and Strömberg, Fredrik (2015) A correspondence of modular forms and applications to values of L-series. Research in Number Theory, 1 (27). pp. 1-12. ISSN 2363-9555 L-functions Derivatives of L-functions Eisenstein series https://link.springer.com/article/10.1007%2Fs40993-015-0029-z doi:10.1007/s40993-015-0029-z doi:10.1007/s40993-015-0029-z
spellingShingle L-functions
Derivatives of L-functions
Eisenstein series
Diamantis, Nikolaos
Neururer, Michael
Strömberg, Fredrik
A correspondence of modular forms and applications to values of L-series
title A correspondence of modular forms and applications to values of L-series
title_full A correspondence of modular forms and applications to values of L-series
title_fullStr A correspondence of modular forms and applications to values of L-series
title_full_unstemmed A correspondence of modular forms and applications to values of L-series
title_short A correspondence of modular forms and applications to values of L-series
title_sort correspondence of modular forms and applications to values of l-series
topic L-functions
Derivatives of L-functions
Eisenstein series
url https://eprints.nottingham.ac.uk/29316/
https://eprints.nottingham.ac.uk/29316/
https://eprints.nottingham.ac.uk/29316/