First sign changes of modular forms for general level N
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- First sign changes of modular forms for general level N
- Cho, Peter J.; JIn, Seokho; Lim, Subong
- Issue Date
- Academic Press
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.523, no.2, pp.127045
- Let f(z) = En>0 a(n)qn be a cusp form of weight k on Gamma 0(N) with real Fourier coefficients a(n). When N is squarefree, Choie and Kohnen gave a bound that the first sign change of a(n) occurs, and recently it was improved by He and Zhao. In this paper, we compute a bound for the first sign change problem for arbitrary N.(c) 2023 Elsevier Inc. All rights reserved.
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