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2 results

  • Generators for modules of vector-valued Picard modular forms

  • Fabien Cléry, Gerard Van Der Geer
  • Journal:
    Nagoya Mathematical Journal / Volume 212 / December 2013
    Published online by Cambridge University Press:
    11 January 2016, pp. 19-57
    Print publication:
    December 2013
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  • We construct generators for modules of vector-valued Picard modular forms on a unitary group of type (2, 1) over the Eisenstein integers. We also calculate eigenvalues of Hecke operators acting on cusp forms.

  • The Chowla-Selberg Method for Fourier Expansion of Higher Rank Eisenstein Series

  • Audrey Terras
  • Journal:
    Canadian Mathematical Bulletin / Volume 28 / Issue 3 / 01 September 1985
    Published online by Cambridge University Press:
    20 November 2018, pp. 280-294
    Print publication:
    01 September 1985
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  • The terms of maximal rank in Fourier expansions of Eisenstein series for GL(n, ℤ) are obtained by an analogue of a method of Chowla and Selberg. The coefficients involve matrix analogues of divisor functions as well as K-Bessel functions for GL(n). The discussion involves a few properties of Hecke operators.