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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
DOI: https://doi.org/10.1090/S0002-9939-09-09982-1
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. W. Kohnen, Sign changes of Fourier coefficients and eigenvalues of cusp forms. In: Number Theory, Proc. 4th China-Japan Seminar (eds.: S. Kanemitsu and J.-Y. Liu), pp. 97-107. World Scientific Publ. Company, 2007. MR 2364838 (2008m:11099)
  • 2. T. Miyake, Modular Forms, Springer, Berlin-Heidelberg-New York, 1989. MR 1021004 (90m:11062)
  • 3. G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten and Princeton Univ. Press, 1971. MR 0314766 (47:3318)

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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.

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