Sign changes of Fourier coefficients of entire modular integral
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SCOPUS
- Title
- Sign changes of Fourier coefficients of entire modular integral
- Authors
- Choie, Y; Kohnen, W
- Date Issued
- 2012-05
- Publisher
- Cambridge University Press
- Abstract
- Let f be a non-zero cusp form with real Fourier coefficients a(n) (n >= 1) of positive real weight k and a unitary multiplier system upsilon on a subgroup Gamma subset of SL2(R) that is finitely generated and of Fuchsian type of the first kind. Then, it is known that the sequence (a(n))(n >= 1) has infinitely many sign changes. In this short note, we generalise the above result to the case of entire modular integrals of non-positive integral weight k on the group Gamma*(0)(N) (N is an element of N) generated by the Hecke congruence subgroup Gamma(0)(N) and the Fricke involution W-N := ((0)(root N) (-1/root N)(0)) provided that the associated period functions are polynomials.
- Keywords
- CUSP FORMS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/16546
- DOI
- 10.1017/S0017089512000018
- ISSN
- 0017-0895
- Article Type
- Article
- Citation
- Glasgow Mathematical Journal, vol. 54, no. 2, page. 355 - 358, 2012-05
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