Non-vanishing of special L-values of cusp forms on GL(2) with totally split prime power twists

JOURNAL OF NUMBER THEORY

卷:213

Article

Kwon, Jaesung¹  Sun, Hae-Sang¹ 

[1] Ulsan Natl Inst Sci & Technol, Dept Math Sci, Ulsan, South Korea

关键词: Cuspidal automorphic forms;    Special L-values;    Non-vanishing;   

DOI  :  10.1016/j.jnt.2019.12.013

来源: Elsevier

【 摘 要 】

We prove the non-vanishing of special L-values of cuspidal automorphic forms on GL(2) twisted by Hecke characters of prime power orders and totally split prime power conductors. Main ingredients of the proof are estimating the Galois averages of fast convergent series expressions of special L-values and considering Shintani cone decomposition. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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