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Non-vanishing of special L-values of cusp forms on GL(2) with totally split prime power twists
- Author(s)
- Kwon, Jaesung, Sun, Hae-sang
- Issued Date
- 2020-08
- Citation
- JOURNAL OF NUMBER THEORY, v.213, pp.347 - 369
- Abstract
- 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.
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- ISSN
- 0022-314X
- Keyword (Author)
- Cuspidal automorphic forms, Special L-values, Non-vanishing
- Keyword
- RAMANUJAN CONJECTURE
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