Guerberoff, L;
(2016)
Period relations for automorphic forms on unitary groups and critical values of L-functions.
Documenta Mathematica
, 21
pp. 1397-1458.
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Abstract
In this paper we explore some properties of periods attached to automorphic representations of unitary groups over CM fields and the critical values of their $L$-functions. We prove a formula expressing the critical values in the range of absolute convergence in terms of Petersson norms of holomorphic automorphic forms. On the other hand, we express the Deligne period of a related motive as a product of quadratic periods and compare the two expressions by means of Deligne's conjecture.
| Type: | Article |
|---|---|
| Title: | Period relations for automorphic forms on unitary groups and critical values of L-functions |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | https://www.math.uni-bielefeld.de/documenta/vol-21... |
| 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 > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1522739 |
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