Results 21 to 30 of about 257 (49)

Eisenstein Cohomology and ratios of critical values of Rankin-Selberg L-functions

open access: yes, 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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A nonabelian trace formula

open access: yes, 2014
Let $E/F$ be an extension of number fields with $\mathrm{Gal}(E/F)$ simple and nonabelian. In [G] the first named author suggested an approach to nonsolvable base change and descent of automorphic representations of $\mathrm{GL}_2$ along such an ...
Getz, Jayce R., Herman, P. Edward
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Bounds for twisted symmetric square $L$-functions

open access: yes, 2012
Let $f\in S_k(N,\psi)$ be a newform, and let $\chi$ be a primitive character of conductor $q^{\ell}$. Assume that $q$ is a prime and $\ell>1$. In this paper we describe a method to establish convexity breaking bounds of the form $$ L(\tfrac{1}{2},\Sym f ...
Munshi, Ritabrata
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Evaluating $L$-functions with few known coefficients

open access: yes, 2013
We address the problem of evaluating an $L$-function when only a small number of its Dirichlet coefficients are known. We use the approximate functional equation in a new way and find that is possible to evaluate the $L$-function more precisely than one ...
Farmer, David W., Ryan, Nathan C.
core   +1 more source

Simultaneous nonvanishing of Dirichlet $L$-functions and twists of Hecke-Maass L-functions

open access: yes, 2014
We prove that given a Hecke-Maass form $f$ for $\text{SL}(2, \mathbb{Z})$ and a sufficiently large prime $q$, there exists a primitive Dirichlet character $\chi$ of conductor $q$ such that the $L$-values $L(\tfrac{1}{2}, f \otimes \chi)$ and $L(\tfrac{1}{
Das, Soumya, Khan, Rizwanur
core  

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