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

Anthony Shaheen | Zendy; Audrey Terras | Zendy

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

Author(s) -

Anthony Shaheen,

Audrey Terras

Publication year - 2006

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms/2006/63918

Subject(s) - mathematics , fourier series , eisenstein series , series (stratigraphy) , pure mathematics , fourier transform , fourier analysis , mathematical analysis , algebra over a field , modular form , paleontology , biology

We consider complex-valued modular forms on finite upper half planes Hq and obtain Fourier expansions of Eisenstein series invariant under the groupsΓ=SL(2,Fp) and GL(2,Fp). 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

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