Results 1 to 10 of about 211 (57)
Fourier expansion along geodesics on Riemann surfaces
Open Mathematics, 2014 Deitmar Anton
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Representation growth and representation zeta functions of groups [PDF]
, 2012 We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to the study of arithmetic groups in semisimple algebraic groups, such as ...
Klopsch, Benjamin
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On the Jacquet Conjecture on the Local Converse Problem for p-adic GL_n [PDF]
, 2016 Based on previous results of Jiang, Nien and the third author, we prove that any two minimax unitarizable supercuspidals of GL_N that have the same depth and central character admit a special pair of Whittaker functions. This result gives a new reduction
Adrian, Moshe +3 more
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A reduction principle for Fourier coefficients of automorphic forms [PDF]
, 2020 In this paper we analyze a general class of Fourier coefficients of automorphic forms on reductive adelic groups $\mathbf{G}(\mathbb{A}_\mathbb{K})$ and their covers.
Gourevitch, Dmitry +4 more
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On the SL(2) period integral [PDF]
, 2004 Let E/F be a quadratic extension of number fields. For a cuspidal representation $\pi$ of SL(2,A_E), we study the non-vanishing of the period integral on SL(2,F)\SL(2,A_F).
Anandavardhanan, U. K., Prasad, Dipendra
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On the vanishing of the measurable Schur cohomology groups of Weil groups [PDF]
, 2002 We generalize a theorem of Tate and show that the second cohomology of the Weil group of a global or local field with coefficients in $\C^*$ (or more generally, with coefficients in the complex points of a tori over $\C$) vanish, where the cohomology ...
Rajan, C. S.
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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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On the local $L^2$ -Bound of the Eisenstein series
Forum of Mathematics, SigmaWe study the growth of the local $L^2$ -norms of the unitary Eisenstein series for reductive groups over number fields, in terms of their parameters. We derive a poly-logarithmic bound on an average, for a large class of reductive groups.
Subhajit Jana, Amitay Kamber
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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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