Results 41 to 50 of about 741 (76)
Forum of Mathematics, SigmaLet ${ F}/{ F}_0$ be a quadratic extension of non-Archimedean locally compact fields of residual characteristic $p\neq 2$ with Galois automorphism $\sigma $ , and let R be an algebraically closed field of characteristic $\ell ...
Robert Kurinczuk +2 more
doaj +1 more source
Cuspidal representations of reductive p-adic groups are relatively injective and projective
, 2015 Cuspidal representations of a reductive p-adic group G over a field of characteristic different from p are relatively injective and projective with respect to extensions that split by a U-equivariant linear map for any subgroup U that is compact modulo ...
Meyer, Ralf
core +1 more source
On a variation of the Erdős–Selfridge superelliptic curve
Bulletin of the London Mathematical Society, Volume 51, Issue 4, Page 633-638, August 2019., 2019 Abstract In a recent paper by Das, Laishram and Saradha, it was shown that if there exists a rational solution of yl=(x+1)…(x+i−1)(x+i+1)…(x+k) for i not too close to k/2 and y≠0, then logl<3k. In this paper, we extend the number of terms that can be missing in the equation and remove the condition on i.
Sam Edis
wiley +1 more source
Sign changes in harmonic analysis on reductive groups
, 1983 Let G be a connected reductive group over a field F. In this note the author constructs an element e(G) of the Brauer group of F. The square of this element is trivial.
R. Kottwitz
semanticscholar +1 more source
Twisting formula of epsilon factors
, 2017 For characters of a non-Archimedean local field we have explicit formula for epsilon factors. But in general, we do not have any generalized twisting formula of epsilon factors.
Biswas, Sazzad Ali
core +1 more source
Distributions and wave front sets in the uniform non‐archimedean setting
Transactions of the London Mathematical Society, Volume 5, Issue 1, Page 97-131, December 2018., 2018 Abstract We study some constructions on distributions in a uniform p‐adic context, and also in large positive characteristic, using model theoretic methods. We introduce a class of distributions which we call distributions of C exp ‐class and which is based on the notion of C exp ‐class functions from Cluckers and Halupczok [J. Ecole Polytechnique (JEP)
Raf Cluckers +3 more
wiley +1 more source
Local parameters of supercuspidal representations
Forum of Mathematics, PiFor a connected reductive group G over a nonarchimedean local field F of positive characteristic, Genestier-Lafforgue and Fargues-Scholze have attached a semisimple parameter ${\mathcal {L}}^{ss}(\pi )$ to each irreducible representation $\pi $
Wee Teck Gan +3 more
doaj +1 more source
WHITTAKER-SHINTANI FUNCTIONS FOR ORTHOGONAL GROUPS
, 2003 As generalizations of zonal spherical functions and Whittaker functions, certain special functions on p-adic orthogonal groups closely related to automorphic forms are introduced.
S. Kato, A. Murase, Takashi Sugano
semanticscholar +1 more source
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
core +1 more source
Distinguished non-Archimedean representations
, 2004 For a symmetric space (G,H), one is interested in understanding the vector space of H-invariant linear forms on a representation \pi of G. In particular an important question is whether or not the dimension of this space is bounded by one.
AC Kable +21 more
core +2 more sources