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Coefficients and Periods of Cusp Forms on SL2(Z)

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Introduction to Modular Forms

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 222))

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Abstract

In pioneering work, Eichler [E 2] discovered relations between periods of cusp forms, extended by Shimura [Sh 1]. Manin [Man 4] made more explicit the connection of these relations with the coefficients in the q-expansion, by using the Hecke operators and continued fractions, and in this chapter, we reproduce part of his paper, after stating the Eichler-Shimura relations.

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© 1976 Springer-Verlag Berlin Heidelberg

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Lang, S. (1976). Coefficients and Periods of Cusp Forms on SL2(Z). In: Introduction to Modular Forms. Grundlehren der mathematischen Wissenschaften, vol 222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51447-0_5

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  • DOI: https://doi.org/10.1007/978-3-642-51447-0_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05716-8

  • Online ISBN: 978-3-642-51447-0

  • eBook Packages: Springer Book Archive

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