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Signs of Fourier coefficients of two cusp forms of different weights


Authors: Winfried Kohnen and Jyoti Sengupta
Journal: Proc. Amer. Math. Soc. 137 (2009), 3563-3567
MSC (2000): Primary 11F30
Published electronically: June 18, 2009
MathSciNet review: 2529861
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Abstract | References | Similar Articles | Additional Information

Abstract: We investigate sign changes of Fourier coefficients of cusp forms of different weights.


References [Enhancements On Off] (What's this?)

  • 1. Winfried Kohnen, Sign changes of Fourier coefficients and eigenvalues of cusp forms, Number theory, Ser. Number Theory Appl., vol. 2, World Sci. Publ., Hackensack, NJ, 2007, pp. 97–107. MR 2364838, 10.1142/9789812770134_0004
  • 2. Toshitsune Miyake, Modular forms, Springer-Verlag, Berlin, 1989. Translated from the Japanese by Yoshitaka Maeda. MR 1021004
  • 3. Goro Shimura, Introduction to the arithmetic theory of automorphic functions, Publications of the Mathematical Society of Japan, No. 11. Iwanami Shoten, Publishers, Tokyo; Princeton University Press, Princeton, N.J., 1971. Kan\cflex o Memorial Lectures, No. 1. MR 0314766

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Additional Information

Winfried Kohnen
Affiliation: Mathematisches Institut, INF 228, Universität Heidelberg, D-69120 Heidelberg, Germany
Email: winfried@mathi.uni-heidelberg.de

Jyoti Sengupta
Affiliation: School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005 Mumbai, India
Email: sengupta@math.tifr.res.in

DOI: https://doi.org/10.1090/S0002-9939-09-09982-1
Received by editor(s): September 23, 2008
Published electronically: June 18, 2009
Communicated by: Wen-Ching Winnie Li
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.