Journal of the Ramanujan Mathematical Society

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Angular Changes of Complex Fourier Coefficients of Cusp Forms


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1 ACSA Laboratory, Department of Mathematics, Mohammed First University, Oujda, Morocco
     

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In this paper, we investigate the “angular changes” behavior of some subfamilies of Fourier coefficients of both integral and half-integral weight holomorphic cusp forms, thus one gets information about signs of the real an imaginary parts of these subfamilies. These give an extension of some recent results of Kohnen and his collaborators.
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  • Angular Changes of Complex Fourier Coefficients of Cusp Forms

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Authors

Mohammed Amin Amri
ACSA Laboratory, Department of Mathematics, Mohammed First University, Oujda, Morocco

Abstract


In this paper, we investigate the “angular changes” behavior of some subfamilies of Fourier coefficients of both integral and half-integral weight holomorphic cusp forms, thus one gets information about signs of the real an imaginary parts of these subfamilies. These give an extension of some recent results of Kohnen and his collaborators.

References