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Euler–Riemann–Dirichlet Lattices: Applications of η(s) Function in Physics

open access: yesMathematics
We discuss applications of the Dirichlet η(s) function in physics. To this end, we provide an introductory description of one-dimensional (1D) ionic crystals, which are well-known in the condensed matter physics literature, to illustrate the central ...
Hector Eduardo Roman
doaj   +1 more source

A sequential Riesz-like criterion for the Riemann hypothesis

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
Luis Báez-Duarte
doaj   +1 more source

Riemann Hypothesis proved

open access: yes, 2014
We show a proof of the so-called Riemann Hypothesis (RH) stating that " All the non-trivial zero of the Zeta Function are on the Critical Line ". We prove the RH using the theory of " inner product spaces " I and l 2 Hilbert spaces, where is defined the " functional " (a,b), named scalar [or inner] product of the vectors a and b. The proof is so simple
openaire   +1 more source

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