Results 11 to 20 of about 175 (23)
On the sharpness of the bound for the Local Converse Theorem of p-adic GLprime [PDF]
, 2018 We introduce a novel ultrametric on the set of equivalence classes of cuspidal irreducible representations of a general linear group GL(N) over a nonarchimedean local field, based on distinguishability by twisted gamma factors.
Adrian, Moshe +3 more
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Special Values of L-functions for Orthogonal Groups
, 2016 This is an announcement of certain rationality results for the critical values of the degree-2n L-functions attached to GL(1) $\times$ SO(n, n) over $\mathbb Q$ for an even positive integer n.
Bhagwat, Chandrasheel, Raghuram, A.
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Absolute convergence of the twisted Arthur-Selberg trace formula [PDF]
, 2018 We show that the distributions occurring in the geometric and spectral side of the twisted Arthur-Selberg trace formula extend to non-compactly supported test functions. The geometric assertion is modulo a hypothesis on root systems proven when the group
Parab, Abhishek
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Eisenstein Cohomology and ratios of critical values of Rankin-Selberg L-functions
, 2011 This is an announcement of results on rank-one Eisenstein cohomology of GL(N), with N > 1 an odd integer, and algebraicity theorems for ratios of successive critical values of certain Rankin-Selberg L-functions for GL(n) x GL(n') when n is even and n' is
Harder, Guenter, Raghuram, A.
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Uniqueness of Rankin-Selberg products
, 2013 In the present paper, we show the equality of the $\gamma$-factors defined by Jacquet, Piatetski-Shapiro and Shalika with those obtained via the Langlands-Shahidi method.
Henniart, Guy, Lomelí, Luis
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Remarks on the arithmetic fundamental lemma
, 2017 W. Zhang's arithmetic fundamental lemma (AFL) is a conjectural identity between the derivative of an orbital integral on a symmetric space with an arithmetic intersection number on a unitary Rapoport-Zink space.
Li, Chao, Zhu, Yihang
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On the Eisenstein cohomology of odd orthogonal groups
, 2011 The paper investigates a significant part of the automorphic, in fact of the so-called Eisenstein cohomology of split odd orthogonal groups over Q. The main result provides a description of residual and regular Eisenstein cohomology classes for maximal ...
Borel +18 more
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On twisted exterior and symmetric square $\gamma$-factors
, 2014 We establish the existence and uniqueness of twisted exterior and symmetric square $\gamma$-factors in positive characteristic by studying the Siegel Levi case of generalized spinor groups.
Ganapathy, Radhika, Lomelí, Luis
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Twisted character of a small representation of GL(4)
, 2006 We compute by a purely local method the (elliptic) twisted by transpose-inverse character \chi_{\pi_Y} of the representation \pi_Y=I_{(3,1)}(1_3x\chi_Y) of G=GL(4,F), where F is a p-adic field, p not 2, and Y is an unramified quadratic extension of F ...
Flicker, Yuval Z., Zinoviev, Dmitrii
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Ext-analogues of Branching laws [PDF]
, 2017 We consider the Ext-analogues of branching laws of representations for a group to its subgroups in the context of $p$-adic ...
Prasad, Dipendra
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