Eliot Brenner

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20062009

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5 papers · 1 filter

math.NT2009

Notes on Analytic Properties of Residual Eisenstein Series, I

Eliot Brenner

We partially generalize the results of Kudla and Rallis on the poles of degenerate, Siegel-parabolic Eisenstein series to residual-data Eisenstein series. In particular, for $a, b$ …

math.NT2008

Artin formalism for Selberg zeta functions of co-finite Kleinian groups

Eliot Brenner, Florin Spinu

Let $Γ\ H^{3}$ be a finite-volume quotient of the upper-half space, where $Γ \subset SL (2, C)$ is a discrete subgroup. To a finite dimensional unitary rep…

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…

Notes on Analytic Properties of Residual Eisenstein Series, I

Artin formalism for Selberg zeta functions of co-finite Kleinian groups

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 $S O (2, 1)_{Z} \ S O (2, 1) / S O (2)$