Results 1 to 10 of about 238 (29)

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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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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$p$-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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Period integrals and Rankin-Selberg L-functions on GL(n) [PDF]

, 2011
We compute the second moment of a certain family of Rankin-Selberg $L$-functions L(f x g, 1/2) where f and g are Hecke-Maass cusp forms on GL(n). Our bound is as strong as the Lindel\"of hypothesis on average, and recovers individually the convexity ...
Blomer, Valentin
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On mean values of some zeta-functions in the critical strip [PDF]

, 2003
For a fixed integer $k\ge 3$ and fixed $1/2 1$ we consider $$ \int_1^T |\zeta(\sigma + it)|^{2k}dt = \sum_{n=1}^\infty d_k^2(n)n^{-2\sigma}T + R(k,\sigma;T), $$ where $R(k,\sigma;T) = o(T) (T\to\infty)$ is the error term in the above asymptotic formula.
Ivić, Aleksandar
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Determination of $GL(3)$ Hecke-Maass forms from twisted central values [PDF]

, 2014
Suppose $\pi_1$ and $\pi_2$ are two Hecke-Maass cusp forms for $SL(3,\mathbb{Z})$ such that for all primitive character $\chi$ we have $$ L(\tfrac{1}{2},\pi_1\otimes\chi)=L(\tfrac{1}{2},\pi_2\otimes\chi). $$ Then we show that $\pi_1=\pi_2$.Comment: First
Munshi, Ritabrata, Sengupta, Jyoti
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Uniform approximate functional equation for principal L-functions

, 2002
We prove an approximate functional equation for the central value of the L-series attached to an irreducible cuspidal automorphic representation of GL(m) over a number field with unitary central character.
Harcos, Gergely
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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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On a convolution series attached to a Siegel Hecke cusp form of degree 2

, 2013
We prove that the "naive" convolution Dirichlet series D_2(s) attached to a degree 2 Siegel Hecke cusp form F, has a pole at s=1. As an application, we write down the asymptotic formula for the partial sums of the squares of the eigenvalues of $F$ with ...
Das, Soumya, Kohnen, Winfried, Sengupta, Jyoti   +2 more
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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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