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On the non-vanishing of Fourier coefficients of half-integral weight cuspforms
- Author(s)
- Min, Jun-Hwi
- Issued Date
- 2024-07
- Citation
- INTERNATIONAL JOURNAL OF NUMBER THEORY, v.20, no.06, pp.1649 - 1661
- Abstract
- We prove the best possible upper bounds of the gaps between non-vanishing Fourier coefficients of half-integral weight cuspforms. This improves the works of Balog-Ono and Thorner. We also show an asymptotic formula of central modular L-values for short intervals.
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- ISSN
- 1793-0421
- Keyword (Author)
- non-vanishing, modular form, Modular L-values, Fourier coefficients
- Keyword
- MODULAR-FORMS, GAPS, TWISTS
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