Results 1 to 10 of about 61 (47)
A nonabelian trace formula [PDF]
Research in the Mathematical Sciences, 2013 Let E/F be an everywhere unramified extension of number fields with Gal(E/F) simple and nonabelian. In a recent paper, the first named author suggested an approach to nonsolvable base change and descent of automorphic representations of GL2 along such an
Jayce R. Getz, Paul Edward Herman
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Power moments of automorphic L-functions related to Maass forms for SL3(ℤ)
Open Mathematics, 2021 Let ff be a self-dual Hecke-Maass eigenform for the group SL3(Z)S{L}_{3}\left({\mathbb{Z}}).
Huang Jing, Liu Huafeng, Zhang Deyu
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Functional equations for Mahler measures of genus-one curves [PDF]
, 2006 In this paper we will establish functional equations for Mahler measures of families of genus-one two-variable polynomials. These families were previously studied by Beauville, and their Mahler measures were considered by Boyd, Rodriguez-Villegas, Bertin,
Matilde Lalín, Mathew Rogers
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$p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS
Forum of Mathematics, Pi, 2020 This paper completes the construction of $p$-adic $L$-functions for unitary groups. More precisely, in Harris, Li and Skinner [‘$p$-adic $L$-functions for unitary Shimura varieties. I. Construction of the Eisenstein measure’, Doc. Math.Extra Vol. (2006),
ELLEN EISCHEN +3 more
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Error term of the mean value theorem for binary Egyptian fractions
Open Mathematics, 2020 In this article, the error term of the mean value theorem for binary Egyptian fractions is studied. An error term of prime number theorem type is obtained unconditionally. Under Riemann hypothesis, a power saving can be obtained.
Xiao Xuanxuan, Zhai Wenguang
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On the finiteness of Ш for motives associated to modular forms
Documenta Mathematica, 1997 Let f be a modular form of even weight on 0 (N) with associated motive M f . Let K be a quadratic imaginary eld satisfying certain standard conditions. We improve a result of Nekov a r and prove that if a rational prime p is outside a nite set of primes ...
A. Besser
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Generalized Functional Equations of Polylogarithmic Groups
, 2022 In this article, the functional equations of classical polylogarithmicgroups for higher weights have been introduced and their relationswith configuration of complexes have been defined via morphisms.
Javed Khan; Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Karachi-75300 +2 more
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Doubling constructions and tensor product L-functions: coverings of the symplectic group
Forum of Mathematics, SigmaIn this work, we develop an integral representation for the partial L-function of a pair $\pi \times \tau $ of genuine irreducible cuspidal automorphic representations, $\pi $ of the m-fold covering of Matsumoto of the symplectic group $
Eyal Kaplan
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Quasi-polynomial representations of double affine Hecke algebras
Forum of Mathematics, SigmaWe introduce an explicit family of representations of the double affine Hecke algebra $\mathbb {H}$ acting on spaces of quasi-polynomials, defined in terms of truncated Demazure-Lusztig type operators.
Siddhartha Sahi +2 more
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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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