Sum Formula for SL$_2$ over a Totally Real Number Field
| Author | : Roelof W. Bruggeman |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 96 |
| Release | : 2009-01-21 |
| 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.
