Results 41 to 50 of about 545,098 (196)
Weighted discrete universality of the Riemann zeta-function
Mathematical Modelling and Analysis, 2020 It is well known that the Riemann zeta-function is universal in the Voronin sense, i.e., its shifts ζ(s + iτ), τ ∈ R, approximate a wide class of analytic functions. The universality of ζ(s) is called discrete if τ take values from a certain discrete set.
Antanas Laurinčikas +2 more
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Arithmetic of Some Zeta Function Connected with the Eigenvalues of the Laplace–Beltrami Operator [PDF]
Advanced Studies in Pure Mathematics, 2018 Akio Fujii
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THE DE BRUIJN–NEWMAN CONSTANT IS NON-NEGATIVE
Forum of Mathematics, Pi, 2020 For each $t\in \mathbb{R}$, we define the entire function $$\begin{eqnarray}H_{t}(z):=\int _{0}^{\infty }e^{tu^{2}}\unicode[STIX]{x1D6F7}(u)\cos (zu)\,du,\end{eqnarray}$$ where $\unicode[STIX]{x1D6F7}$ is the super-exponentially decaying function ...
BRAD RODGERS, TERENCE TAO
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Stronger arithmetic equivalence
Discrete Analysis, 2021 Stronger arithmetic equivalence, Discrete Analysis 2021:23, 23 pp. An algebraic number field is a subfield $K$ of $\mathbb C$ that is finite-dimensional when considered as a vector space over $\mathbb Q$, which implies that every element of $K$ is ...
Andrew V. Sutherland
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Values of zeta functions of arithmetic surfaces at $s=1$
, 2021 29 pages; revised version following suggestions of referee; to appear in JIMJ (Journal of the Institute of Mathematics of Jussieu)
Lichtenbaum, Stephen +1 more
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Additive Cellular Automata and Volume Growth
Entropy, 2000 : A class of dynamical systems associated to rings of S-integers in rational function fields is described. General results about these systems give a rather complete description of the well-known dynamics in one-dimensional additive cellular automata ...
Thomas B. Ward
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Another generalization of the gcd-sum function [PDF]
, 2013 We investigate an arithmetic function representing a generalization of the gcd-sum function, considered by Kurokawa and Ochiai in 2009 in connection with the multivariable global Igusa zeta function for a finite cyclic group.
Tóth, László
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Multiplicity estimate for solutions of extended Ramanujan's system [PDF]
, 2011 We establish a new multiplicity lemma for solutions of a differential system extending Ramanujan's classical differential relations. This result can be useful in the study of arithmetic properties of values of Riemann zeta function at odd positive ...
Zorin, Evgeniy
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K3 mirror symmetry, Legendre family and Deligne's conjecture for the Fermat quartic
Nuclear Physics B, 2021 In this paper, we will study the connections between the mirror symmetry of K3 surfaces and the geometry of the Legendre family of elliptic curves. We will prove that the mirror map of the Dwork family is equal to the period map of the Legendre family ...
Wenzhe Yang
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, 2014 We show that the non-commutative geometric approach to the Riemann zeta function has an algebraic geometric incarnation: the "Arithmetic Site".
Connes, Alain, Consani, Caterina
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