The fundamental lemma of a relative trace formula for G L ( 3 )

Yangbo Ye

Compositio Mathematica (1993)

  • Volume: 89, Issue: 2, page 121-162
  • ISSN: 0010-437X

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Ye, Yangbo. "The fundamental lemma of a relative trace formula for $GL(3)$." Compositio Mathematica 89.2 (1993): 121-162. <http://eudml.org/doc/90255>.

@article{Ye1993,
author = {Ye, Yangbo},
journal = {Compositio Mathematica},
keywords = {fundamental lemma; matching of orbital integrals; Hecke algebras of spherical functions; Kloosterman integral; Kuznetsov trace formula; relative Kloosterman integral; automorphic representations},
language = {eng},
number = {2},
pages = {121-162},
publisher = {Kluwer Academic Publishers},
title = {The fundamental lemma of a relative trace formula for $GL(3)$},
url = {http://eudml.org/doc/90255},
volume = {89},
year = {1993},
}

TY - JOUR
AU - Ye, Yangbo
TI - The fundamental lemma of a relative trace formula for $GL(3)$
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 89
IS - 2
SP - 121
EP - 162
LA - eng
KW - fundamental lemma; matching of orbital integrals; Hecke algebras of spherical functions; Kloosterman integral; Kuznetsov trace formula; relative Kloosterman integral; automorphic representations
UR - http://eudml.org/doc/90255
ER -

References

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  1. [H-L-R] G. Harder, R. Langlands, and M. Rapoport: Algebraische Zyklen auf Hilbert-Blumenthal-Flächen, J. reine angew. Math.366 (1986) 53-120. Zbl0575.14004MR833013
  2. [J-Y] H. Jacquet and Y. Ye: Une remarque sur le changement de base quadratique, C.R. Acad. Sci. Paris, t. 311, Série I (1990), 671-676. Zbl0715.11026MR1081622
  3. [J-Y2] H. Jacquet and Y. Ye: Relative Kloosterman integrals for GL(3), Bull. Soc. Math. France120 (1992) 263-295. Zbl0785.11032MR1180831
  4. [M] F. Mautner: Spherical functions over p-acid fields, I., Amer. J. Math.80 (1958) 441-457. Zbl0092.12501MR93558
  5. [Y] Y. Ye: Kloosterman integrals and base change for GL(2), J. rein angew. Math.400 (1989) 57-121. Zbl0665.10020MR1013725
  6. [Y2] Y. Ye: An integral transform and its applications, preprint. 
  7. [Z] D. Zagier, Modular forms associated to real quadratic fields, Invent. Math.30 (1975) 1-46. Zbl0308.10014MR382174

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