We study two rather different problems,one arising from Diophantine Geometry and other from Fourier Analysis,which lead to very similar questions,namely the study of the ranks of matrices with entries either zero or((xy/q)),0<=x,y<q,where ((u))=u-[u]-1/2 denotes the "centered" fractional part of x.These ranks, in turn,are closely connected with the non vanishing of the Dirichlet L-functions at s=1
We present a construction for nontrivial harmonic functions associated to the spectral fractional La...
AbstractLet χ denote a primitive, Dirichlet character to the modulus q>i and let L(s,χ) be the corre...
Let be a real primitive character modulo D. If the L-function (,) has a real zero close to =1, know...
In this work we investigate the order of vanishing of L( s, chi) and L(s, f) (resp. rchi and rf) at ...
Abstract. Let χ be a primitive Dirichlet character modulo q and L(s, χ) be the Dirichlet L-function ...
Given k 08N, we study the vanishing of the Dirichlet series. Dk(s,f):= 11n 651dk(n)f(n)n-s at the po...
ABSTRACT. This paper deals with the question of non-vanishing of Dirichlet L-functions at the centra...
We consider questions of non-vanishing of symmetric square L -functions lifted from Hecke cusp forms...
Let L(s, χ) be a fixed Dirichlet L-function. Given a vertical arithmetic progression of T points on ...
We present new results on nonlocal Dirichlet problems established by means of suitable spectral theo...
We prove that more than nine percent of the central values $L(1/2,\chi_p)$ are non-zero, where $p\eq...
In 2011, M.R. Murty and V.K. Murty [10] proved that if L(s, χD) is the Dirichlet L-series attached a...
we allow the backward heat equation to deform the zeros of qua-dratic Dirichlet L-functions. There i...
International audienceWe consider Dirichlet L -functions $L(s, \chi )$ where $\chi $ is a non-princi...
We present a construction for nontrivial harmonic functions associated to the spectral fractional La...
We present a construction for nontrivial harmonic functions associated to the spectral fractional La...
AbstractLet χ denote a primitive, Dirichlet character to the modulus q>i and let L(s,χ) be the corre...
Let be a real primitive character modulo D. If the L-function (,) has a real zero close to =1, know...
In this work we investigate the order of vanishing of L( s, chi) and L(s, f) (resp. rchi and rf) at ...
Abstract. Let χ be a primitive Dirichlet character modulo q and L(s, χ) be the Dirichlet L-function ...
Given k 08N, we study the vanishing of the Dirichlet series. Dk(s,f):= 11n 651dk(n)f(n)n-s at the po...
ABSTRACT. This paper deals with the question of non-vanishing of Dirichlet L-functions at the centra...
We consider questions of non-vanishing of symmetric square L -functions lifted from Hecke cusp forms...
Let L(s, χ) be a fixed Dirichlet L-function. Given a vertical arithmetic progression of T points on ...
We present new results on nonlocal Dirichlet problems established by means of suitable spectral theo...
We prove that more than nine percent of the central values $L(1/2,\chi_p)$ are non-zero, where $p\eq...
In 2011, M.R. Murty and V.K. Murty [10] proved that if L(s, χD) is the Dirichlet L-series attached a...
we allow the backward heat equation to deform the zeros of qua-dratic Dirichlet L-functions. There i...
International audienceWe consider Dirichlet L -functions $L(s, \chi )$ where $\chi $ is a non-princi...
We present a construction for nontrivial harmonic functions associated to the spectral fractional La...
We present a construction for nontrivial harmonic functions associated to the spectral fractional La...
AbstractLet χ denote a primitive, Dirichlet character to the modulus q>i and let L(s,χ) be the corre...
Let be a real primitive character modulo D. If the L-function (,) has a real zero close to =1, know...
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