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In other words, zeta potential is the potential difference between the dispersion medium and the stationary layer of fluid attached to the dispersed particle. The zeta potential is caused by the net electrical charge contained within the region bounded by the slipping plane, and also depends on the location of that plane. Thus, it is widely ...
the Kronecker delta function [3] the Feigenbaum constants [4] the force of interest in mathematical finance; the Dirac delta function [5] the receptor which enkephalins have the highest affinity for in pharmacology [6] the Skorokhod integral in Malliavin calculus, a subfield of stochastic analysis; the minimum degree of any vertex in a given graph
The Ihara zeta function is defined as the analytic continuation of the infinite product = (),where L(p) is the length of .The product in the definition is taken over all prime closed geodesics of the graph = (,), where geodesics which differ by a cyclic rotation are considered equal.
The Riemann zeta function ζ(z) plotted with domain coloring. [1] The pole at = and two zeros on the critical line.. The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ (), is a mathematical function of a complex variable defined as () = = = + + + for >, and its analytic continuation elsewhere.
Atle Selberg. In mathematics, the Selberg class is an axiomatic definition of a class of L-functions.The members of the class are Dirichlet series which obey four axioms that seem to capture the essential properties satisfied by most functions that are commonly called L-functions or zeta functions.
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Roughly speaking, the explicit formula says the Fourier transform of the zeros of the zeta function is the set of prime powers plus some elementary factors. Once this is said, the formula comes from the fact that the Fourier transform is a unitary operator, so that a scalar product in time domain is equal to the scalar product of the Fourier ...
Hurwitz zeta function, a generalization of the Riemann zeta function; Igusa zeta function; Ihara zeta function of a graph; L-function, a "twisted" zeta function; Lefschetz zeta function of a morphism; Lerch zeta function, a generalization of the Riemann zeta function; Local zeta function of a characteristic-p variety; Matsumoto zeta function