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Bulletin of the American Mathematical Society

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Undecidable diophantine equations


Author: James P. Jones
Journal: Bull. Amer. Math. Soc. 3 (1980), 859-862
MSC (1970): Primary 02F25, 10N05; Secondary 10B15
DOI: https://doi.org/10.1090/S0273-0979-1980-14832-6
MathSciNet review: 578379
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  • 3. J. P. Jones, Three universal representations of r.e. sets, J. Symbolic Logic 43 (1978), 335-351. MR 498049
  • 4. Ju. V. Matijasevič, Enumerable sets are diophantine, Dokl. Akad. Nauk SSSR 191 (1970), 279-282. English transl.: Soviet Math. Doklady 11 (1970), 354-358. MR 258744
  • 5. Ju. V. Matijasevič, Some purely mathematical results inspired by mathematical logic, Foundations of Mathematics and Computability Theory (Butts and Hintakka, eds.), Reidel, Dordrecht, Holland, 1977, pp. 121-127. MR 485685
  • 6. Ju. V. Matijasevič and Julia Robinson, Reduction of an arbitrary diophantine equation to one in 13 unknowns, Acta Arith. 27 (1975), 521-553. MR 387188
  • 7. Carl. L. Siegel, Zur Theorie der quadratischen Formen, Nachr. Akad. Wiss. Göttingen Math.-Phys. KL II 1972, 21-46. MR 311578

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DOI: https://doi.org/10.1090/S0273-0979-1980-14832-6

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