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General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
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Calculation of Riemann's zeta function via interpolating determinants Yu. V. Matiyasevich St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences |
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Abstract: Using intensive computer calculations, the author empirically discovered unusual methods for calculating high-precision approximations to the non-trivial zeroes of Riemann's zeta function, its values and values of its derivative on the whole complex plane. So far no theoretical explanation to these phenomena is known. More details could be found on http://logic.pdmi.ras.ru/~yumat/personaljournal/artlessmethod/artlessmethod.php |