Kernels for products of L-functions

Diamantis, Nikolaos; O'Sullivan, Cormac

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.

Citation

Diamantis, N., & O'Sullivan, C. Kernels for products of L-functions. Algebra and Number Theory, 7(8), https://doi.org/10.2140/ant.2013.7.1883

• Journal Article Type: Article
• Deposit Date: Mar 16, 2014
• 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
• DOI: https://doi.org/10.2140/ant.2013.7.1883
• Public URL: https://nottingham-repository.worktribe.com/output/1004051
• Publisher URL: http://msp.org/ant/2013/7-8/p05.xhtml