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arXiv · 1401.7453

Microscopic interpolation formula for the Riemann $Z(t)$-function and new algorithm for asymptotic solution of some Diophantine equation with Leibnitz coefficients

Jan Moser
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Abstract

In this paper we use the values of the Riemann $Z(t)$-function in order to construct certain quasi-orthonormal system of vectors. On this basis we prove a formula for microscopic interpolation of the function $Z(t)$. Simultaneously we have obtained a new algorithm how to construct asymptotic solutions of Diophantine equation with Leibnitz coefficients. This paper is English version of the paper \cite{3} except the Appendix.

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Jan Moser. 2014-01-29. Microscopic interpolation formula for the Riemann $Z(t)$-function and new algorithm for asymptotic solution of some Diophantine equation with Leibnitz coefficients. https://arxiv.org/abs/1401.7453

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