Sum formula for SL2 over a totally real number field / Roelof W. Bruggeman, Roberto J. Miatello.

Format:

Book

Author/Creator:

Bruggeman, Roelof W., 1944- author.

Miatello, Roberto J., author.

Series:

Memoirs of the American Mathematical Society ; Volume 197, Number 919.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 197, Number 919

Language:

English

Subjects (All):

Lie groups.

Representations of groups.

Physical Description:

1 online resource (96 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2009.

Language Note:

English

Summary:

The authors prove a general form of the sum SL2 over a totally real number field. This formula relates sums of Kloosterman sums to products of Fourier coefficients of automorphic representations.

Contents:

""Contents""; ""Introduction""; ""Chapter 1. Spectral sum formula""; ""1. Sum formulas of Kuznetsov type""; ""2. Preliminaries""; ""3. Derivation of the spectral sum formula""; ""4. Density results for cuspidal representations""; ""Chapter 2. Kloosterman sum formula""; ""5. Bessel inversion""; ""6. Derivation of the Kloosterman sum formula""; ""7. Application""; ""8. Final comments""; ""Appendix A. Sum formula for the congruence subgroup Î?[sub(1)](I)""; ""Appendix B. Comparisons""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""

""O""""P""; ""R""; ""S""; ""T""; ""U""; ""W""

Notes:

"Volume 197, Number 919 (first of 5 numbers)."

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4704-0525-3