Bruggeman R.W. Sum formula for SL2 over a totally real number field / R.W.Bruggeman, R.J Miatello. - Providence: American Mathematical Society, 2009. - vi, 81 p. - (Memoirs of the American Mathematical Society; Vol.197, N 919). - Bibliogr.: p.77-78. - Ind.: p.81. - ISBN 978-0-8218-4202-7; ISSN 0065-9266  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Introduction .................................................... 1 Chapter 1. Spectral sum formula ................................. 3 1. Sum formulas of Kuznetsov type ............................ 3 2. Preliminaries ............................................. 5 3. Derivation of the spectral sum formula ................... 16 4. Density results for cuspidal representations ............. 46 Chapter 2. Kloosterman sum formula ............................. 55 5. Bessel inversion ......................................... 55 6. Derivation of the Kloosterman sum formula ................ 60 7. Application .............................................. 68 8. Final comments ........................................... 70 Appendix A. Sum formula for the congruence subgroup Г1(I) ...... 71 Appendix B. Comparisons ........................................ 73 Bibliography ................................................... 77 Index .......................................................... 79