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On the non-vanishing of modular $L$-values and fourier coefficients of cusp forms - MaRDI portal

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On the non-vanishing of modular $L$-values and fourier coefficients of cusp forms

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Publication:6390343

arXiv2202.03010MaRDI QIDQ6390343

Author name not available (Why is that?)

Publication date: 7 February 2022

Abstract: We prove a non-vanishing result of modular L-values with quadratic twists, where the quadratic discriminants are in a short interval. Using this fact and Waldspurger's theorem, we improve the results of Balog-Ono[The chebotarev density theorem in short intervals and some questions of Serre, Journal of number theory. 91(2):356-371(2001)] on the non-vanishing of Fourier coefficients of half-integral weight eigenform.





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