Fourier expansions of complex-valued Eisenstein series on finite upper half planes

Anthony Shaheen and Audrey Terras

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-17

Abstract:

We consider complex-valued modular forms on finite upper half planes H q and obtain Fourier expansions of Eisenstein series invariant under the groups Γ = S L ( 2 , F p ) and G L ( 2 , F p ) . The expansions are analogous to those of Maass wave forms on the ordinary Poincaré upper half plane —the K -Bessel functions being replaced by Kloosterman sums.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:063918

DOI: 10.1155/IJMMS/2006/63918

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