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Sum Formula for SL2 over a Totally Real Number Field (Memoirs of the American Mathematical Society)

Posted By: Nice_smile)
Date: 14 Feb 2017 12:49:21
Sum Formula for SL2 over a Totally Real Number Field (Memoirs of the American Mathematical Society)

Sum Formula for SL2 over a Totally Real Number Field (Memoirs of the American Mathematical Society) by Roelof W. Bruggeman
English | 2009 | ISBN: 0821842021 | 81 Pages | PDF | 1.76 MB

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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