منابع مشابه
On Non-Vanishing of Convolution of Dirichlet Series
We study the non-vanishing on the line Re(s) = 1 of the convolution series associated to two Dirichlet series in a certain class of Dirichlet series. The non-vanishing of various L-functions on the line Re(s) = 1 will be simple corollaries of our general theorems. Let f(z) = ∑∞ n=1 âf (n)e 2πinz and g(z) = ∑∞ n=1 âg(n)e 2πinz be cusp forms of weight k and level N with trivial character. Let Lf ...
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Article history: Received 1 March 2014 Received in revised form 14 May 2014 Accepted 14 May 2014 Available online 3 July 2014 Communicated by Dinesh S. Thakur MSC: 11M06 11M20
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Let $G$ be a finite group. An element $gin G$ is called non-vanishing, if for every irreducible complex character $chi$ of $G$, $chi(g)neq 0$. The bi-Cayley graph ${rm BCay}(G,T)$ of $G$ with respect to a subset $Tsubseteq G$, is an undirected graph with vertex set $Gtimes{1,2}$ and edge set ${{(x,1),(tx,2)}mid xin G, tin T}$. Let ${rm nv}(G)$ be the set of all non-vanishi...
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We locate all of the zeros of certain Poincaré series associated with the Fricke groups Γ0(2) and Γ ∗ 0(3) in their fundamental domains by applying and extending the method of F. K. C. Rankin and H. P. F. Swinnerton-Dyer (“On the zeros of Eisenstein series”, 1970).
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Abstract. We offer a Maple package Poincare_Series for calculating the Poincaré series for the algebras of invariants/covariants of binary forms, for the algebras of joint invariants/covariants of several binary forms, for the kernel of Weitzenböck derivations,for the bivariate Poincaré series of algebra of covariants of binary d-form and for the multivariate Poincaré series of the algebras of ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2018
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2018.06.051