Results 51 to 60 of about 170 (146)
A non-selfdual automorphic representation of GL3 and a Galois representation
Inventiones mathematicae, 1994 Given the congruence subgroup \(\Gamma_0 (N)\) of \(\text{SL}_2 (\mathbb Z)\) the first étale cohomology group \(H^1 (X_0 (N)_{\overline {\mathbb Q}}, \mathbb Q_\ell)\) of the associated modular curve \(X_0 (N)\) gives rise to a certain Galois representation (i.e.
van Greemen, Bert, Top, Jaap
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Twists of Galois Representations and Projective Automorphisms
Journal of Number Theory, 1999 Let \(\mathcal O\) be a commutative, complete local ring with residue field \(k\) and maximal ideal \(\lambda\). Also, let \(K\) be a finite extension of the rationals \(\mathbb Q\). Write \(G_K:=\text{Gal}(\overline{K}/K)\) and let \(\rho_1,\rho_2:G_K\rightarrow GL_n(\mathcal O)\) be surjective, continuous Galois representations, unramified outside a ...
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Unlikely intersections on the p-adic formal ball. [PDF]
Res Number Theory, 2023 Serban V.
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On strong multiplicity one for automorphic representations
Journal of Number Theory, 2003 We extend the strong multiplicity one theorem of Jacquet, Piatetski-Shapiro and Shalika. Let $π$ be a unitary, cuspidal, automorphic representation of $GL_n(\A_K)$. Let $S$ be a set of finite places of $K$, such that the sum $\sum_{v\in S}Nv^{-2/(n^2+1)}$ is convergent.
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Modularity of PGL2(𝔽p)-representations over totally real fields. [PDF]
Proc Natl Acad Sci U S A, 2021 Allen PB, Khare CB, Thorne JA.
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Automorphic Bloch theorems for hyperbolic lattices. [PDF]
Proc Natl Acad Sci U S A, 2022 Maciejko J, Rayan S.
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Feature-aware unsupervised lesion segmentation for brain tumor images using fast data density functional transform. [PDF]
Sci Rep, 2023 Huang SJ, Chen CC, Kao Y, Lu HH.
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Elements of Automorphic Representations
, 2011 This is an attempt at a practical and essentially self-contained theory of automorphic representations in the framework $$\hbox{$L^2(\varGamma\backslashrG)$ with $rG=\r{PSL}(2,\B{R})$ and $\varGamma=\r{PSL}(2,\B{Z})$.}$$
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An Euler system for GU(2, 1). [PDF]
Math Ann, 2022 Loeffler D, Skinner C, Zerbes SL.
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Definite orthogonal modular forms: computations, excursions, and discoveries. [PDF]
Res Number Theory, 2022 Assaf E +5 more
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