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Sum Formula for SL$_2$ over a Totally Real Number Field
 
Roelof W. Bruggeman Universiteit Utrecht, Utrecht, The Netherlands
Roberto J. Miatello Universidad Nacional de Córdoba, Córdoba, Argentina
Front Cover for Sum Formula for SL$_2$ over a Totally Real Number Field
Available Formats:
Electronic ISBN: 978-1-4704-0525-0
Product Code: MEMO/197/919.E
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $39.60
Front Cover for Sum Formula for SL$_2$ over a Totally Real Number Field
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Sum Formula for SL$_2$ over a Totally Real Number Field
Roelof W. Bruggeman Universiteit Utrecht, Utrecht, The Netherlands
Roberto J. Miatello Universidad Nacional de Córdoba, Córdoba, Argentina
Available Formats:
Electronic 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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1972009; 81 pp
    MSC: 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.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Chapter 1. Spectral sum formula
    • Chapter 2. Kloosterman sum formula
    • Appendix A. Sum formula for the congruence subgroup $\Gamma _1(I)$
    • Appendix B. Comparisons
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Volume: 1972009; 81 pp
MSC: 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.

  • Chapters
  • Introduction
  • Chapter 1. Spectral sum formula
  • Chapter 2. Kloosterman sum formula
  • Appendix A. Sum formula for the congruence subgroup $\Gamma _1(I)$
  • Appendix B. Comparisons
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