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@article{MZM_2020_108_3_a3, author = {B. Z. Moroz and A. A. Norkin}, title = {On a {Theorem} of {Matiyasevich}}, journal = {Matemati\v{c}eskie zametki}, pages = {366--379}, publisher = {mathdoc}, volume = {108}, number = {3}, year = {2020}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a3/} }
B. Z. Moroz; A. A. Norkin. On a Theorem of Matiyasevich. Matematičeskie zametki, Tome 108 (2020) no. 3, pp. 366-379. http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a3/
[1] Yu. V. Matiyasevich, “Diofantovo predstavlenie perechislimykh predikatov”, Izv. AN SSSR. Ser. matem., 35:1 (1971), 3–30 | MR | Zbl
[2] Yu. V. Matiyasevich, “Diofantovost perechislimykh mnozhestv”, Dokl. AN SSSR, 191:2 (1970), 279–282 | MR | Zbl
[3] M. Davis, Yu. Matijasevic̆, Ju. Robinson, “Hilbert's tenth problem. Diophantine equations: positive aspects of a negative solution”, Mathematical Developments Arising From Hilbert Problems, Amer. Math. Soc., Providence, RI, 1976, 323–378 | DOI | MR
[4] V. H. Dyson, J. P. Jones, J. C. Shepherdson, “Some Diophantine forms of Gödel's theorem”, Arch. Math. Logik Grundlag., 22:1–2 (1982), 51–60 | MR
[5] M. Carl, B. Z. Moroz, “On a Diophantine representation of the predicate of provability”, Issledovaniya po konstruktivnoi matematike i matematicheskoi logike. XII, Posvyaschaetsya pamyati Nikolaya Aleksandrovicha ShANINA, Zap. nauchn. sem. POMI, 407, POMI, SPb., 2012, 77–104 | MR
[6] M. Carl, B. Z. Moroz, “A polynomial encoding provability in pure mathematics (outline of an explicit construction)”, Bull. Belg. Math. Soc. Simon Stevin, 20:1 (2013), 181–187 | DOI | MR
[7] Yu. V. Matiyasevich, Desyataya problema Gilberta, Nauka, M., 1993 | MR
[8] J. M. Hernandez Caceres, The Riemann Hypothesis and Diophantine Equations, Master's Thesis, Mathematical Institute, University of Bonn, Bonn, 2018
[9] B. Z. Moroz, Gipoteza Rimana i diofantovy uravneniya, Preprint Sankt-Peterburgskogo matem. ob-va No 2018-03, 2018
[10] Yu. V. Matiyasevich, “Gipoteza Rimana kak chetnost spetsialnykh binomialnykh koeffitsientov”, Chebyshevskii sb., 19:3 (2018), 46–60 | DOI
[11] A. A. Norkin, Ob odnom diofantovom uravnenii, nerazreshimost kotorogo ekvivalentna gipoteze Rimana, Diplomnaya rabota na zvanie bakalavra, MFTI, M., 2019
[12] L. Schoenfeld, “Sharper bounds for the Chebyshev functions $\psi(x)$ and $\theta(x)$. II”, Math. Comp., 30 (1976), 337–360 | MR
[13] A. E. Ingam, Raspredelenie prostykh chisel, URSS, M., 2008 | MR
[14] N. Fine, “Binomial coefficients modulo a prime”, Amer. Math. Monthly, 54 (1947), 589–592 | DOI | MR
[15] Yu. Matijasevic̆, Ju. Robinson, “Reduction of an arbitrary Diophantine equation to one in 13 unknowns”, Acta Arith., 27 (1975), 521–553 | DOI | MR
[16] M. Davis, “Hilbert's tenth problem is unsolvable”, Amer. Math. Monthly, 80 (1973), 233–269 | DOI | MR