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- W2158389620 abstract "We consider complex-valued modular forms on finite upper half planes<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math>and obtain Fourier expansions of Eisenstein series invariant under the groups<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>Γ</mml:mi><mml:mo>=</mml:mo><mml:mtext>S</mml:mtext><mml:mtext>L</mml:mtext><mml:mo stretchy=false>(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant=double-struck>F</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mtext>G</mml:mtext><mml:mtext>L</mml:mtext><mml:mo stretchy=false>(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant=double-struck>F</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:math>. The expansions are analogous to those of Maass wave forms on the ordinary Poincaré upper half plane —the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>K</mml:mi></mml:math>-Bessel functions being replaced by Kloosterman sums." @default.
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- W2158389620 date "2006-01-01" @default.
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- W2158389620 title "Fourier expansions of complex-valued Eisenstein series on finite upper half planes" @default.
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- W2158389620 doi "https://doi.org/10.1155/ijmms/2006/63918" @default.
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