1982•ACM SIGSAM BulletinRequires access

P-adic reconstruction of rational numbers

Paul S. Wang, M. J. T. Guy, James H. Davenport

Abstract

In a recent paper, Wang [1981] introduces a p-adic algorithm for the construction of partial fraction decompositions. This differs from the usual p-adic algorithms for factorisation or the computation of greatest common divisors ([Wang, 1978], [Wang, 1980], [Moore & Norman, 1981]) in that the p-adic image is used to reconstruct rational numbers, rather than integers.

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Key concepts: Partial fraction decomposition, Mathematics, Rational number, Computation, Fraction (chemistry), Factorization, Image (mathematics), Algebra over a field