Results 31 to 40 of about 17,792 (168)
Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]
Duke Mathematical Journal, 2013 62 pages, minor ...
Nir Avni +3 more
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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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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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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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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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Spectral zeta functions of fractals and the complex dynamics of polynomials [PDF]
, 2005 We obtain formulas for the spectral zeta function of the Laplacian on symmetric finitely ramified fractals, such as the Sierpinski gasket, and a fractal Laplacian on the interval.
Teplyaev, Alexander
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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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, 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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Some arithmetic properties of partial zeta functions weighted by a sign character
Journal of Number Theory, 2009 AbstractWe introduce two types of zeta functions (Ψ-type and ζ-type) of one complex variable associated to an arbitrary number field K. We prove various arithmetic identities which involve both of them. We also study their special values at integral arguments.
Hugo Chapdelaine
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