Microscopic interpolation formula for the Riemann Z(t)-function and new algorithm for asymptotic solution of some Diophantine equation with Leibnitz coefficients
Moser, Jan
Original · EN
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 3 except the Appendix.
English translation
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