Kernels for products of L-functions

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Diamantis, Nikolaos and O'Sullivan, Cormac (2013) Kernels for products of L-functions. Algebra and Number Theory, 7 (8). pp. 1883-1917. ISSN 1937-0652

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Official URL: http://msp.org/ant/2013/7-8/p05.xhtml

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.

Item Type:	Article
RIS ID:	https://nottingham-repository.worktribe.com/output/1004051
Schools/Departments:	University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number:	10.2140/ant.2013.7.1883
Depositing User:	Diamantis, Dr Nikolaos
Date Deposited:	16 Mar 2014 23:10
Last Modified:	04 May 2020 20:20
URI:	https://eprints.nottingham.ac.uk/id/eprint/2370

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