Eliot Brenner

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20062009

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Showing 2006 · math.NTShow all

3 papers · 2 filters

math.NT2006

Stability of the local gamma factor in the unitary case

Eliot Brenner

Rallis and Soudry have proven the stability under twists by highly ramified characters of the local gamma factor arising from the doubling method, in the case of a symplectic group…

math.NT2006

A fundamental domain of Ford type for $S O (3, Z [i]) \ S O (3, C) / S O (3)$ , and for $S O (2, 1)_{Z} \ S O (2, 1) / S O (2)$

Eliot Brenner

Let $G = S O (3, C)$ , $Γ = S O (3, Z [i])$ , $K = S O (3)$ , and let $X$ be the locally symmetric space $Γ\ G / K$ . In this paper, we write down explicit equations defining a fundamental dom…

math.NT2006

A fundamental domain of Ford type for some subgroups of the orthogonal group

Eliot Brenner

We initiate a study of the spectral theory of the locally symmetric space $X = Γ\ G / K$ , where $G = S O (3, C o m pl e x)$ , $Γ = S O (3, Z [i])$ , $K = S O 3$ . We write down explicit equations…

Stability of the local gamma factor in the unitary case

A fundamental domain of Ford type for SO(3,Z[i])\SO(3,C)/SO(3), and for SO(2,1)Z​\SO(2,1)/SO(2)

A fundamental domain of Ford type for some subgroups of the orthogonal group

A fundamental domain of Ford type for $S O (3, Z [i]) \ S O (3, C) / S O (3)$ , and for $S O (2, 1)_{Z} \ S O (2, 1) / S O (2)$