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Kernels for products of L-functions

Diamantis, Nikolaos; O'Sullivan, Cormac

Authors

Nikolaos Diamantis pmznd@maths.nottingham.ac.uk

Cormac O'Sullivan



Abstract

The Rankin-Cohen bracket of two Eisenstein series provides a kernel yielding products of the periods of Hecke eigenforms at critical values. Extending this idea leads to a new type of Eisenstein series built with a double sum. We develop the properties of these series and their nonholomorphic analogs and show their connection to values of L-functions outside the critical strip.

Journal Article Type Article
Journal Algebra and Number Theory
Print ISSN 1937-0652
Electronic ISSN 1937-0652
Publisher Mathematical Sciences Publishers
Peer Reviewed Peer Reviewed
Volume 7
Issue 8
APA6 Citation Diamantis, N., & O'Sullivan, C. Kernels for products of L-functions. Algebra and Number Theory, 7(8), doi:10.2140/ant.2013.7.1883
DOI https://doi.org/10.2140/ant.2013.7.1883
Publisher URL http://msp.org/ant/2013/7-8/p05.xhtml
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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