A decision method for 𝑝-adic integral zeros of diophantine equations

Nerode, A.

doi:10.1090/S0002-9904-1963-10979-9

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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A decision method for $p$-adic integral zeros of diophantine equations
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Bull. Amer. Math. Soc. 69 (1963), 513-517

References

A. Fröhlich and J. C. Shepherdson, Effective procedures in field theory, Philos. Trans. Roy. Soc. London Ser. A 248 (1956), 407–432. MR 74349, DOI 10.1098/rsta.1956.0003
Michael O. Rabin, Computable algebra, general theory and theory of computable fields, Trans. Amer. Math. Soc. 95 (1960), 341–360. MR 113807, DOI 10.1090/S0002-9947-1960-0113807-4
Alfred Tarski, A decision method for elementary algebra and geometry, University of California Press, Berkeley-Los Angeles, Calif., 1951. 2nd ed. MR 0044472

Additional Information

Journal: Bull. Amer. Math. Soc. 69 (1963), 513-517
DOI: https://doi.org/10.1090/S0002-9904-1963-10979-9
MathSciNet review: 0168460