On Riemann Surfaces of genus g with 4g automorphisms [PDF]
arXiv, 2016 We determine, for all genus $g\geq2$ the Riemann surfaces of genus $g$ with $4g$ automorphisms. For $g\neq$ $3,6,12,15$ or $30$, this surfaces form a real Riemann surface $\mathcal{F}_{g}$ in the moduli space $\mathcal{M}_{g}$: the Riemann sphere with three punctures. The set of real Riemann surfaces in $\mathcal{F}_{g}$ consists of three intervals its
arxiv
A Bicomplex Riemann Zeta Function [PDF]
Tokyo Journal of Mathematics, 2004 In this work we use a commutative generalization of complex numbers, called bicomplex numbers, to introduce a holomorphic Riemann zeta function of two complex variables satisfying the complexified Cauchy-Riemann equations. Furthermore, we establish a bicomplex Riemann hypothesis equivalent to the complex Riemann hypothesis
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Analysis of the Riemann zeta function [PDF]
arXiv, 2019 The main result of the paper is a definition of possible ways of the confirmation of the Riemann hypothesis based on the properties of the vector system of the second approximate equation of the Riemann Zeta function. The paper uses a feature of calculating the Riemann Zeta function in the critical strip, where its approximate value is determined by ...
arxiv
Characteristic polynomials, spectral-based Riemann-Zeta functions and entropy indices of n-dimensional hypercubes. [PDF]
J Math Chem, 2023 Balasubramanian K.
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Riemann flow and Riemann wave via bialternate product Riemannian metric [PDF]
arXiv, 2011 We illustrate the flow or wave character of the metrics and curvatures of evolving manifolds, introducing the Riemann flow and the Riemann wave via the bialternate product Riemannian metric. This kind of evolutions are new and very natural to understand certain flow or wave phenomena in the nature as well as the geometry of evolving manifolds.
arxiv
, 2009 Global mapping properties of the Riemann Zeta function are used to investigate its non trivial zeros.
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Evanescent wave in multiple slit diffraction and n-array antennas in metamaterial using Cesàro convergence. [PDF]
Sci Rep, 2023 Nellambakam Y +2 more
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Closed-form formula of Riemann zeta function and eta function for all non-zero given complex numbers via sums of powers of complex functions to disprove Riemann Hypothesis [PDF]
arXiv, 2019 An explicit identity of sums of powers of complex functions presented via this a closed-form formula of Riemann zeta function produced at any given non-zero complex numbers. The closed-form formula showed us Riemann zeta function has no unique solution for any given non-zero complex numbers which means Riemann zeta function is entirely divergent ...
arxiv
Molecular Motifs in Vascular Morphogenesis: Vascular Endothelial Growth Factor A (VEGFA) as the Leading Promoter of Angiogenesis. [PDF]
Int J Mol Sci, 2023 Lungu CN, Mehedinti MC.
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Certain results associated with the generalized Riemann zeta functions
Revista Técnica de la Facultad de Ingeniería, 2011 In this paper we derive new (linear and bilateral) generating functions involving certain families of hypergeometric functions and the Riemann zeta function (or the generalized zeta function).
R. Raina, H. Srivastava
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