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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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Estimates for nonanalytic cusp forms
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by David Johnson PDF
Proc. Amer. Math. Soc. 92 (1984), 1-9 Request permission

Abstract:

Estimates for the magnitude of nonanalytic cusp forms are obtained via the theory of the Selberg transformation and Fourier coefficient estimates.
References
  • R. W. Bruggeman, Fourier coefficients of cusp forms, Invent. Math. 45 (1978), no. 1, 1–18. MR 472701, DOI 10.1007/BF01406220
  • Tomio Kubota, Elementary theory of Eisenstein series, Kodansha, Ltd., Tokyo; Halsted Press [John Wiley & Sons, Inc.], New York-London-Sydney, 1973. MR 0429749
  • Hans Maass, Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen, Math. Ann. 121 (1949), 141–183 (German). MR 31519, DOI 10.1007/BF01329622
  • H. Neunhöffer, Über die analytische Fortsetzung von Poincaréreihen, S.-B. Heidelberger Akad. Wiss. Math.-Natur. Kl. (1973), 33–90 (German). MR 0352007
  • Walter Roelcke, Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II, Math. Ann. 167 (1966), 292–337; ibid. 168 (1966), 261–324 (German). MR 0243062, DOI 10.1007/BF01361556
  • A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc. (N.S.) 20 (1956), 47–87. MR 88511
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 92 (1984), 1-9
  • MSC: Primary 11F12
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0749879-5
  • MathSciNet review: 749879