Results 31 to 40 of about 669 (57)
Distinguished representations, base change, and reducibility for unitary groups [PDF]
, 2004 We show the equality of the local Asai L-functions defined via the Rankin-Selberg method and the Langlands-Shahidi method for a square integrable representation of GL(n,E).
Anandavardhanan, U. K., Rajan, C. S.
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The dual pair $\mathrm {Aut}(C)\times F_{4}$ (p-adic case)
Forum of Mathematics, SigmaWe study the local theta correspondence for dual pairs of the form $\mathrm {Aut}(C)\times F_{4}$ over a p-adic field, where C is a composition algebra of dimension $2$ or $4$ , by restricting the minimal representation of a group of ...
Edmund Karasiewicz, Gordan Savin
doaj +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
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Stability in the category of smooth mod-p representations of ${\mathrm {SL}}_2(\mathbb {Q}_p)$
Forum of Mathematics, SigmaLet $p \geq 5$ be a prime number, and let $G = {\mathrm {SL}}_2(\mathbb {Q}_p)$ . Let $\Xi = {\mathrm {Spec}}(Z)$ denote the spectrum of the centre Z of the pro-p Iwahori–Hecke algebra of G with coefficients in a field k of ...
Konstantin Ardakov, Peter Schneider
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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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Excursion operators and the stable Bernstein center
Forum of Mathematics, PiWe prove that the Fargues-Scholze construction of elements in the Bernstein center via excursion operators always yields stable distributions. We also prove a strong quantitative compatibility of the Fargues-Scholze construction with transfer across ...
David Hansen
doaj +1 more source
Relating Signed Kazhdan-Lusztig Polynomials and Classical Kazhdan-Lusztig Polynomials
, 2012 Motivated by studying the Unitary Dual Problem, a variation of Kazhdan-Lusztig polynomials was defined in [Yee08] which encodes signature information at each level of the Jantzen filtration.
Yee, Wai Ling
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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
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
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Local newforms and formal exterior square L-functions
, 2012 Let F be a non-archimedean local field of characteristic zero. Jacquet and Shalika attached a family of zeta integrals to unitary irreducible generic representations $\pi$ of GL_n(F). In this paper, we show that Jacquet-Shalika integral attains a certain
Miyauchi, Michitaka, Yamauchi, Takuya
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