Kernels for products of L-functions
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 analog...
| Main Authors: | , |
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| Format: | Article |
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Mathematical Sciences Publishers
2013
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| Online Access: | https://eprints.nottingham.ac.uk/2370/ |
| _version_ | 1848790767504457728 |
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| author | Diamantis, Nikolaos O'Sullivan, Cormac |
| author_facet | Diamantis, Nikolaos O'Sullivan, Cormac |
| author_sort | Diamantis, Nikolaos |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:17:51Z |
| format | Article |
| id | nottingham-2370 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:17:51Z |
| publishDate | 2013 |
| publisher | Mathematical Sciences Publishers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-23702020-05-04T20:20:08Z https://eprints.nottingham.ac.uk/2370/ Kernels for products of L-functions Diamantis, Nikolaos O'Sullivan, Cormac 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. Mathematical Sciences Publishers 2013 Article PeerReviewed 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 http://msp.org/ant/2013/7-8/p05.xhtml doi:10.2140/ant.2013.7.1883 doi:10.2140/ant.2013.7.1883 |
| spellingShingle | Diamantis, Nikolaos O'Sullivan, Cormac Kernels for products of L-functions |
| title | Kernels for products of L-functions |
| title_full | Kernels for products of L-functions |
| title_fullStr | Kernels for products of L-functions |
| title_full_unstemmed | Kernels for products of L-functions |
| title_short | Kernels for products of L-functions |
| title_sort | kernels for products of l-functions |
| url | https://eprints.nottingham.ac.uk/2370/ https://eprints.nottingham.ac.uk/2370/ https://eprints.nottingham.ac.uk/2370/ |