Results 11 to 20 of about 18,139 (171)
Numerical Integration of Slater Basis Functions Over Prolate Spheroidal Grids. [PDF]
J Comput ChemAtom‐centered Slater functions are integrated over a prolate spheroidal grid, allowing the use of larger basis sets in correlated electronic structure computations. ABSTRACT Slater basis functions have desirable properties that can improve electronic structure simulations, but improved numerical integration methods are needed. This work builds upon the
Stark A +5 more
europepmc +2 more sources
A Two-Stage Cascading Amplification Strategy Based on Zn<sup>2+</sup>-Doped WO<sub>X</sub> Nanozymes for Ultrasensitive Lateral Flow Immunoassays of Clostridium Difficile Toxin B. [PDF]
Adv Sci (Weinh)Based on the modulation of active sites and electronic structure of substrate materials, along with a colorimetric two‐stage cascading enhancement strategy, an LFIA platform with highly efficient POD‐mimetic enzymes is developed, achieving highly sensitive detection of Clostridium difficile toxin B.
Su J +6 more
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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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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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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
doaj +1 more source
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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, 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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Multiple finite Riemann zeta functions
, 2004 Observing a multiple version of the divisor function we introduce a new zeta function which we call a multiple finite Riemann zeta function. We utilize some $q$-series identity for proving the zeta function has an Euler product and then, describe the ...
Kimoto, K. +3 more
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Truncated Infinitesimal Shifts, Spectral Operators and Quantized Universality of the Riemann Zeta Function [PDF]
, 2013 We survey some of the universality properties of the Riemann zeta function $\zeta(s)$ and then explain how to obtain a natural quantization of Voronin's universality theorem (and of its various extensions).
Herichi, Hafedh, Lapidus, Michel L.
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The Riemann-zeta function on vertical arithmetic progressions [PDF]
, 2012 We show that the twisted second moments of the Riemann zeta function averaged over the arithmetic progression $1/2 + i(an + b)$ with $a > 0$, $b$ real, exhibits a remarkable correspondance with the analogous continuous average and derive several ...
Li, Xiannan, Radziwill, Maksym
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