| eBook ISBN: | 978-1-4704-0525-0 |
| Product Code: | MEMO/197/919.E |
| List Price: | $66.00 |
| MAA Member Price: | $59.40 |
| AMS Member Price: | $39.60 |
| eBook ISBN: | 978-1-4704-0525-0 |
| Product Code: | MEMO/197/919.E |
| List Price: | $66.00 |
| MAA Member Price: | $59.40 |
| AMS Member Price: | $39.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 197; 2009; 81 ppMSC: Primary 11; 22
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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Table of Contents
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Chapters
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Introduction
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Chapter 1. Spectral sum formula
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Chapter 2. Kloosterman sum formula
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Appendix A. Sum formula for the congruence subgroup $\Gamma _1(I)$
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Appendix B. Comparisons
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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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Chapters
-
Introduction
-
Chapter 1. Spectral sum formula
-
Chapter 2. Kloosterman sum formula
-
Appendix A. Sum formula for the congruence subgroup $\Gamma _1(I)$
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Appendix B. Comparisons
