Sum Formula for SL$_2$ over a Totally Real Number Field

Sum Formula for SL$_2$ over a Totally Real Number Field
Author :
Publisher : American Mathematical Soc.
Total Pages : 96
Release :
ISBN-10 : 9780821842027
ISBN-13 : 0821842021
Rating : 4/5 (021 Downloads)

Book Synopsis Sum Formula for SL$_2$ over a Totally Real Number Field by : Roelof W. Bruggeman

Download or read book Sum Formula for SL$_2$ over a Totally Real Number Field written by Roelof W. Bruggeman and published by American Mathematical Soc.. This book was released on 2009-01-21 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors prove a general form of the sum formula $\mathrm{SL}_2$ 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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