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Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6075
Abstract: We define and study the multidimensional Appell polynomials associated with theta functions. For the trivial theta functions, we obtain the various well‐known Appell polynomials. Many other interesting examples are given. To push our study, by…
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Keywords:
zeta functions;
appell polynomials;
multidimensional appell;
theta functions ... See more keywords
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Published in 2018 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-017-9571-3
Abstract: In this paper we study the dynamical zeta functions of Ruelle and Selberg associated with the geodesic flow of a compact hyperbolic odd-dimensional manifold. These are functions of a complex variable s in some right…
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Keywords:
zeta functions;
ruelle zeta;
functions non;
selberg ruelle ... See more keywords
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Published in 2019 at "Journal of Superconductivity and Novel Magnetism"
DOI: 10.1007/s10948-019-05243-0
Abstract: It was found that, in addition to trivial zeros in points (z = − 2N, N = 1, 2…, natural numbers), the Riemann’s zeta function ζ(z) has zeros only on the line {$$ z=\frac{1}{2}+\mathrm{i}{\mathrm{t}}_0 $$, t0 is real}. All zeros are…
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Keywords:
zeta functions;
line;
zeros riemann;
riemann zeta ... See more keywords
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Published in 2020 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2020.107192
Abstract: Abstract We study motivic zeta functions for Q -divisors in a Q -Gorenstein variety. By using a toric partial resolution of singularities we reduce this study to the local case of two normal crossing divisors…
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Keywords:
motivic zeta;
gorenstein varieties;
functions gorenstein;
zeta functions ... See more keywords
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Published in 2018 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.01.014
Abstract: Abstract We construct absolute zeta functions from absolute automorphic forms via the zeta regularization. We study analytic properties of absolute zeta functions. Especially we look at regularized Euler constants. We show a generalization of Euler’s…
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Keywords:
zeta functions;
functions absolute;
euler;
absolute automorphic ... See more keywords
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Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.12.034
Abstract: Abstract We settle a conjecture of Cerone and Dragomir on the concavity of the reciprocal of the Riemann zeta function on ( 1 , ∞ ) . It is further shown in general that reciprocals…
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Keywords:
zeta;
convexity;
cerone dragomir;
resolution conjecture ... See more keywords
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Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.03.071
Abstract: We show that each member of a doubly infinite sequence of highly nonlinear expressions of Bernoulli polynomials, which can be seen as linear combinations of certain higher-order convolutions, is a multiple of a specific product…
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Keywords:
tornheim zeta;
bernoulli polynomials;
multiple tornheim;
zeta functions ... See more keywords
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Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125396
Abstract: Abstract In the paper, an analogue of the Gram points used in the theory of the Riemann zeta-function is introduced for zeta-functions of normalized Hecke-eigen cusp forms of weight κ. Some analytic properties of those…
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Keywords:
points theory;
functions certain;
zeta functions;
cusp forms ... See more keywords
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Published in 2018 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2018.04.021
Abstract: Abstract We prove the limit formula for the multiple Hurwitz zeta function using absolute zeta functions. These formulas contain Euler's formula for the Euler constant proved in 1776.
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Keywords:
zeta functions;
hurwitz zeta;
limit formulas;
formulas multiple ... See more keywords
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Published in 2021 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2021.05.012
Abstract: For a compact Riemann surface $M$ of genus $g\ge 2$, we study the functional equations of the Selberg zeta functions attached with the Tate motives $f$. We prove that certain functional equations hold if and…
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Keywords:
zeta functions;
equations selberg;
functions tate;
selberg zeta ... See more keywords
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Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.03.047
Abstract: Abstract We derive a factorization formula for the Ihara zeta function of the corona of two graphs. When the two graphs are regular, this factorization formula involves the graphs' adjacency spectra. As an application, we…
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Keywords:
zeta functions;
graphs;
ihara zeta;
formula ... See more keywords