Results 11 to 20 of about 204 (49)
On the GL$_{n}$-eigenvariety and a conjecture of Venkatesh [PDF]
, 2017 Let π be a cuspidal, cohomological automorphic representation of GL$_{n}$(A). Venkatesh has suggested that there should exist a natural action of the exterior algebra of a certain motivic cohomology group on the π-part of the Betti cohomology (with ...
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An Eisenstein ideal for imaginary quadratic fields and the Bloch-Kato conjecture for Hecke characters [PDF]
, 2007 For certain algebraic Hecke characters chi of an imaginary quadratic field F we define an Eisenstein ideal in a p-adic Hecke algebra acting on cuspidal automorphic forms of GL_2/F.
Agboola +29 more
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Rigid meromorphic cocycles for orthogonal groups
Forum of Mathematics, SigmaRigid meromorphic cocycles are defined in the setting of orthogonal groups of arbitrary real signature and constructed in some instances via a p-adic analogue of Borcherds’ singular theta lift.
Lennart Gehrmann +2 more
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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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L-invariants for cohomological representations of PGL(2) over arbitrary number fields
Forum of Mathematics, SigmaLet $\pi $ be a cuspidal, cohomological automorphic representation of an inner form G of $\operatorname {{PGL}}_2$ over a number field F of arbitrary signature. Further, let $\mathfrak {p}$ be a prime of F such that G is split at
Lennart Gehrmann, Maria Rosaria Pati
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Forum of Mathematics, SigmaThis article presents new rationality results for the ratios of critical values of Rankin–Selberg L-functions of $\mathrm {GL}(n) \times \mathrm {GL}(n')$ over a totally imaginary field $F.$ The proof is based on a cohomological ...
A. Raghuram
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Shintani Cocycles on $\GL_{n}$
, 2007 The aim of this paper is to define an n-1-cocycle $\sigma$ on $\GL_{n}(\Q)$ with values in a certain space $\hD$ of distributions on $\A_f^{n}\setminus\{0\}$. Here $\A_f$ denotes the ring of finite ad\`{e}les of $\Q$, and the distributions take values in
Hill, Richard
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Modular forms and elliptic curves over the field of fifth roots of unity [PDF]
, 2010 Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of elliptic curves over F.Comment: Added appendix by Mark Watkins, who found an elliptic curve missing from our ...
Gunnells, Paul E. +2 more
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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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Perfect forms over totally real number fields [PDF]
, 2009 A rational positive-definite quadratic form is perfect if it can be reconstructed from the knowledge of its minimal nonzero value m and the finite set of integral vectors v such that f(v) = m.
Gunnells, Paul E., Yasaki, Dan
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