ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

Bounds for the Petersson norms of the pullbacks of Saito-Kurokawa lifts

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.

[img] PDF
Jou_num_the_191_289_2018.pdf - Published Version
Restricted to Registered users only

Download (365kB) | Request a copy
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
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
Depositing User: Id for Latest eprints
Date Deposited: 14 Aug 2018 17:40
Last Modified: 14 Aug 2018 17:40
URI: http://eprints.iisc.ac.in/id/eprint/60432

Actions (login required)

View Item View Item