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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Signs of Fourier coefficients of two cusp forms of different weights
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by Winfried Kohnen and Jyoti Sengupta PDF
Proc. Amer. Math. Soc. 137 (2009), 3563-3567 Request permission

Abstract:

We investigate sign changes of Fourier coefficients of cusp forms of different weights.
References
  • 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, DOI 10.1142/9789812770134_{0}004
  • Toshitsune Miyake, Modular forms, Springer-Verlag, Berlin, 1989. Translated from the Japanese by Yoshitaka Maeda. MR 1021004, DOI 10.1007/3-540-29593-3
  • Goro Shimura, Introduction to the arithmetic theory of automorphic functions, Kanô Memorial Lectures, No. 1, Iwanami Shoten Publishers, Tokyo; Princeton University Press, Princeton, N.J., 1971. Publications of the Mathematical Society of Japan, No. 11. 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
  • Received by editor(s): September 23, 2008
  • Published electronically: June 18, 2009
  • Communicated by: Wen-Ching Winnie Li
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 3563-3567
  • MSC (2000): Primary 11F30
  • DOI: https://doi.org/10.1090/S0002-9939-09-09982-1
  • MathSciNet review: 2529861