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Relative Kloosterman Integrals For Gl(3): III

Published online by Cambridge University Press:  20 November 2018


Zhengyu Mao
Affiliation:
Mathematics Department Columbia University New York City, New York, 10027 USA.

Abstract

Let E be a quadratic extension of a number field F with Galois conjugation σ, G’ the quasi-split unitary group in three variables, G the group GL(3, E). We let S be the space of the matrices s in G such that σ(s)s = e. One conjectures a comparison identity between the relative Kuznietsov trace formula for the symmetric space S and the ordinary Kuznietsov trace formula for the group G’ (See [10]). We prove the corresponding “fundamental lemmas”.


Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1993

References

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