Sum formula for SL2 over a totally real number field

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書誌事項

Sum formula for SL2 over a totally real number field

Roelof W. Bruggeman, Roberto J. Miatello

(Memoirs of the American Mathematical Society, no. 919)

American Mathematical Society, 2009

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注記

Includes bibliographical references (p. 77-78) and index

内容説明・目次

内容説明

The authors prove a general form of the sum formula SL2 over a totally real number field. This formula relates sums of Kloosterman sums to products of Fourier coefficients of automorphic representations. The authors give two versions: the spectral sum formula (in short: sum formula) and the Kloosterman sum formula. They have the independent test function in the spectral term, in the sum of Kloosterman sums, respectively.

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