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Unsolvable diophantine problems. (English) Zbl 0182.01901


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[1] Martin Davis, Computability and unsolvability, McGraw-Hill Series in Information Processing and Computers, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1958. · Zbl 0080.00902
[2] Martin Davis, Extensions and corollaries of recent work on Hilbert’s Tenth Problem., Illinois J. Math. 7 (1963), 246 – 250. · Zbl 0112.24603
[3] -, One equation to rule them all, Memorandum RM-5494-PR, The RAND Corporation, Santa Monica, Calif., 1968. · Zbl 0316.02051
[4] Martin Davis, Hilary Putnam, and Julia Robinson, The decision problem for exponential diophantine equations, Ann. of Math. (2) 74 (1961), 425 – 436. · Zbl 0111.01003 · doi:10.2307/1970289
[5] Hilary Putnam, An unsolvable problem in number theory, J. Symbolic Logic 25 (1960), 220 – 232. · Zbl 0108.00701 · doi:10.2307/2964679
[6] Julia Robinson, Existential definability in arithmetic, Trans. Amer. Math. Soc. 72 (1952), 437 – 449. · Zbl 0047.24802
[7] Julia Robinson, Diophantine decision problems, Studies in Number Theory, Math. Assoc. Amer. (distributed by Prentice-Hall, Englewood Cliffs, N.J.), 1969, pp. 76 – 116. · Zbl 0269.02018
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