Loeffler, D;
Pilloni, V;
Skinner, C;
Zerbes, SL;
(2021)
Higher Hida theory and p-adic L-functions for GSp₄.
Duke Mathematical Journal
(In press).
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Abstract
We use the "higher Hida theory" recently introduced by the second author to p-adically interpolate periods of non-holomorphic automorphic forms for GSp(4), contributing to coherent cohomology of Siegel threefolds in positive degrees. We apply this new method to construct p-adic L-functions associated to the degree 4 (spin) L-function of automorphic representations of GSp(4), and the degree 8 L-function of GSp(4) x GL(2).
| Type: | Article |
|---|---|
| Title: | Higher Hida theory and p-adic L-functions for GSp₄ |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | https://www.dukeupress.edu/duke-mathematical-journ... |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10121495 |
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