B. Z. Moroz, A. A. Norkin, “On a Theorem of Matiyasevich”, Mat. Zametki, 2020, Volume 108, Issue 3,Pages <nobr>366

On a Theorem of Matiyasevich

B. Z. Moroz^abc, A. A. Norkin^d

^a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
^b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
^c University of Bonn
^d The Weizmann Institute of Science

Abstract: Using the restatement of the Riemann hypothesis proposed in a recent paper of Matiyasevich, we explicitly write out the system of Diophantine equations whose unsolvability is equivalent to this hypothesis.

Keywords: Riemann hypothesis, Diophantine equations, binomial coefficients.

UDC: 511.331+511.515+510.58

Received: 01.03.2020
Revised: 30.03.2020

DOI: 10.4213/mzm12711