Anamby, Pramath and Das, Soumya (2018) Bounds for the Petersson norms of the pullbacks of Saito-Kurokawa lifts. In: JOURNAL OF NUMBER THEORY, 191 . pp. 289-304.
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Official URL: https://dx.doi.org/10.1016/j.jnt.2018.03.011
Abstract
Using the amplification technique, we prove that `mass' of the pullback of the Saito-Kurokawa lift of a Hecke eigen form g is an element of S-2k is bounded by k(1-1/210+epsilon). This improves the previously known bound k for this quantity. (C) 2018 Elsevier Inc. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Publication: | JOURNAL OF NUMBER THEORY |
| Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA |
| Additional Information: | Copyright of this article belong to ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 14 Aug 2018 17:40 |
| Last Modified: | 14 Aug 2018 17:40 |
| URI: | http://eprints.iisc.ac.in/id/eprint/60432 |
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