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On the first sign change of Fourier coefficients of cusp forms.
- Source :
-
Journal of Number Theory . Sep2018, Vol. 190, p212-228. 17p. - Publication Year :
- 2018
-
Abstract
- Let f be a nonzero cusp form of even integral weight k ⩾ 2 on the Hecke congruence subgroup Γ 0 ( N ) with N squarefree. Suppose that the normalized Fourier coefficients λ f ( n ) of f are real. We prove that the first sign change of λ f ( n ) occurs in the range n ≪ ( k N ) 2 + ε . This improves upon the earlier result of Choie and Kohnen [2] . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 190
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 129736343
- Full Text :
- https://doi.org/10.1016/j.jnt.2018.02.011