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Undecidable diophantine equations
Author(s):
James P.
Jones
Journal:
Bull. Amer. Math. Soc.
3
(1980),
859-862.
MSC (1970):
Primary 02F25, 10N05;
Secondary 10B15
MathSciNet review:
578379
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Additional information
References:
- 1.
- A. Baker, Contributions to the theory of diophantine equations. I, Philos. Trans. Roy. Soc. London Ser. A 263 (1968), 173-191. MR 228424
- 2.
- Martin Davis, Hilary Putnam and Julia Robinson, The decision problem for exponential diophantine equations, Ann. of Math. (2) 74 (1961), 425-436. MR 133227
- 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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Additional Information:
DOI:
10.1090/S0273-0979-1980-14832-6
PII:
S 0273-0979(1980)14832-6
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