Results 1 to 10 of about 3,587,659 (146)
Lietuvos Matematikos Rinkinys, 2008 The sequence of generalized prime numbers q0 = 1, qn = pkn+1 -1, n ∈ N, and the corresponding zeta-function Zk(s) = \prodp>2( 1 - (pk - 1)-s)-1 , s = σ + it, are analyzed.
Eugenijus Stankus
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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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Average value of the divisor class numbers of real cubic function fields
Open Mathematics, 2023 We compute an asymptotic formula for the divisor class numbers of real cubic function fields Km=k(m3){K}_{m}=k\left(\sqrt[3]{m}), where Fq{{\mathbb{F}}}_{q} is a finite field with qq elements, q≡1(mod3)q\equiv 1\hspace{0.3em}\left(\mathrm{mod}\hspace{0 ...
Lee Yoonjin, Lee Jungyun, Yoo Jinjoo
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Note on composition of entire functions and bounded $L$-index in direction
Математичні Студії, 2021 We study the following question: ``Let $f\colon \mathbb{C}\to \mathbb{C}$ be an entire function of bounded $l$-index, $\Phi\colon \mathbb{C}^n\to \mathbb{C}$ an be entire function, $n\geq2,$ $l\colon \mathbb{C}\to \mathbb{R}_+$ be a continuous function ...
A. I. Bandura, O. B. Skaskiv, T. M. Salo
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Translational Psychiatry, 2021 The release of neuropeptides from dense core vesicles (DCVs) modulates neuronal activity and plays a critical role in cognitive function and emotion.
Wei-Jye Lin +12 more
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Composition of entire and analytic functions in the unit ball
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this paper, we investigate a composition of entire function of several complex variables and analytic function in the unit ball. We modified early known results with conditions providing equivalence of boundedness of $L$-index in a direction for such ...
A.I. Bandura, O.B. Skaskiv, I.R. Tymkiv
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On $L^*$-proximate order of meromorphic function [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper we introduce the notion of $L^{* }$-proximate order of meromorphic function and prove its existence.
Sanjib Datta, Tanmay Biswas
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On arithmetic Heilbronn supercharacters [PDF]
Notes on Number Theory and Discrete MathematicsIn this note, we introduce arithmetic Heilbronn supercharacters that generalize the notions of arithmetic Heilbronn characters and Heilbronn supercharacters and discuss several properties of them.
Mircea Cimpoeaș
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Factoring $L$-functions as products of $L$-functions [PDF]
Transactions of the American Mathematical Society, 1994 Two factorizations are obtained for \(L\)-functions associated to certain automorphic forms for \(\text{GL} (n,\mathbb{Z})\). Let \(H_ n= G/CK\), where \(G= \text{GL} (n,\mathbb{R})\), the general linear group of \(n\times n\) non- singular real matrices, \(C\)= the center of \(G\), \(K=O(n)\), the orthogonal group of all \(n\times n\) orthogonal ...
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Algebraicity of metaplectic L-functions [PDF]
Journal of Number Theory, 2021 Notable results on the special values of $L$-functions of Siegel modular forms were obtained by J. Sturm in the case when the degree $n$ is even and the weight $k$ is an integer. In this paper we extend this method to half-integer weights $k$ and arbitrary degree $n$, determining the algebraic field in which they lie.
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