Results 1 to 10 of about 36 (36)

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
doaj   +1 more source

$p$-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, MICHAEL HARRIS, JIANSHU LI, CHRISTOPHER SKINNER   +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
doaj   +1 more source

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, Azhar Iqbal; Department of Basic Sciences, Dawood University of Engineering & Technology, Karachi-74800, Muhammad Khalid; Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Karachi-75300   +2 more
core  

Doubling constructions and tensor product L-functions: coverings of the symplectic group

Forum of Mathematics, Sigma
In 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, Sigma
We 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, Jasper Stokman, Vidya Venkateswaran   +2 more
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Eisenstein Cohomology for $\mathrm {GL}_N$ and the special values of Rankin–Selberg L-functions over a totally imaginary number field

Forum of Mathematics, Sigma
This 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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Mean values connected with the Dedekind zeta-function of a non-normal cubic field

Open Mathematics, 2013
Lü Guangshi
doaj   +1 more source

On effective determination of symmetric-square lifts

Open Mathematics, 2014
Sun Qingfeng
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Applications of the Kuznetsov formula on GL(3). [PDF]

Invent Math, 2013
Blomer V.
europepmc   +1 more source