On equalities involving integrals of the logarithm of the Riemann zeta-function and equivalent to the Riemann hypothesis
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A generic integral equation and method of moments formulation is presented for laterally bounded stratified media including planar metallization. The main asset of the developed approach is its flexibility, as it encompasses generic lateral boundary condit ...
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Institute of Electrical and Electronics Engineers2013
A treatment is described for getting some algebro-geometric solutions of the coupled modified Kadomtsev-Petviashvili (cmKP) equations and a hierarchy of 1 + 1 dimensional integrable nonlinear evolution equations (INLEEs) by using the Neumann type systems t ...
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The aim of this research is to establish a relation between the derivatives of Hardy's Z function and the argument of the Riemann zeta function in the neighborhood of points where |Z| reaches a large maximum. In this paper, we make a step toward this goal ...
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The Weil-Barner explicit formula is applied to the prime counting function and to the problem of numerical partial verification of the Riemann hypothesis. ...