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

JOURNAL OF NUMBER THEORY

卷:191

Article

Anamby, Pramath¹  Das, Soumya¹ 

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

关键词: Pullbacks;    Saito-Kurokawa lifts;    Petersson norms;    Mass distribution;   

DOI  :  10.1016/j.jnt.2018.03.011

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

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