Unsolvable diophantine problems
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- Proc. Amer. Math. Soc. 22 (1969), 534-538 Request permission
References
- Martin Davis, Computability and unsolvability, McGraw-Hill Series in Information Processing and Computers, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1958. MR 0124208
- Martin Davis, Extensions and corollaries of recent work on Hilbert’s Tenth Problem, Illinois J. Math. 7 (1963), 246–250. MR 148539 —, One equation to rule them all, Memorandum RM-5494-PR, The RAND Corporation, Santa Monica, Calif., 1968.
- Martin Davis, Hilary Putnam, and Julia Robinson, The decision problem for exponential diophantine equations, Ann. of Math. (2) 74 (1961), 425–436. MR 133227, DOI 10.2307/1970289
- Hilary Putnam, An unsolvable problem in number theory, J. Symbolic Logic 25 (1960), 220–232. MR 158825, DOI 10.2307/2964679
- Julia Robinson, Existential definability in arithmetic, Trans. Amer. Math. Soc. 72 (1952), 437–449. MR 48374, DOI 10.1090/S0002-9947-1952-0048374-2
- Julia Robinson, Diophantine decision problems, Studies in Number Theory, Math. Assoc. America, Buffalo, N.Y.; distributed by Prentice-Hall, Englewood Cliffs, N.J., 1969, pp. 76–116. MR 0244047
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 22 (1969), 534-538
- MSC: Primary 02.75
- DOI: https://doi.org/10.1090/S0002-9939-1969-0244046-8
- MathSciNet review: 0244046