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조재현

Cho, Peter J.
Lab for L-functions and arithmetic
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First sign changes of modular forms for general level N

Author(s)
Cho, Peter J.JIn, SeokhoLim, Subong
Issued Date
2023-07
DOI
10.1016/j.jmaa.2023.127045
URI
https://scholarworks.unist.ac.kr/handle/201301/61967
Citation
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.523, no.2, pp.127045
Abstract
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.
Publisher
Academic Press
ISSN
0022-247X
Keyword (Author)
Fourier coefficientsSign change
Keyword
FOURIER COEFFICIENTS

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