Eichler cohomology of generalized modular forms of real weights

@article{Raji2012EichlerCO,
  title={Eichler cohomology of generalized modular forms of real weights},
  author={Wissam Raji},
  journal={Scopus},
  year={2012},
  volume={141},
  pages={383-392}
}
  • W. Raji
  • Published 1 May 2012
  • Mathematics
  • Scopus
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The focus is shifted from generalized modular forms of integral weight to those of arbitrary real weight, and Stokes’s theorem is rendered unnecessary here by its use instead of the appropriate known cohomology theorem with unitary multiplier systems.
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We show starting with relations between Fourier coefficients of weakly parabolic generalized modular forms of negative weight that we can construct automorphic integrals for large integer weights. We
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It is well known that modular forms of positive dimension have Fourier coefficients given by certain infinite series involving Kloostermann sums and the modified Bessel function of the first kind. In
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The Fourier coefficients of classical modular forms of negative weights have been determined for the case for which F(τ) belongs to a subgroup of the full modular group [9]. In this paper, we
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By using Stokes's theorem, we prove an Eichler cohomology theorem for generalized modular forms with some restrictions on the relevant multiplier systems.
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Das Problem, die Fourier-Koeffizienten der Modulformen von positiver Dimension zu bestimmen, das hier fur die Funktionen der vollen Modulgruppe und fur die gewisser Grenzkreisgruppen von beliebigem
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In this paper, we find a functional equation that characterizes the series involved in the Fourier coefficients of generalized modular forms of large negative real weights.
Some new results on the Eichler cohomology of automorphic forms
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