JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 6, Pages 931 - 948
(December 2017) http://dx.doi.org/10.17654/NT039060931 |
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ON RATIONALITY AND m-FACTORIAL NUMBERS
Claude Gauthier
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Abstract: We expand in terms of factorials and reciprocal factorials to any fixed power Expansions into reciprocal factorials only are finite if and infinite if Such expansions are used to construct the sets of m-factorial numbers, which have similarities and differences with those of p-adic numbers. Basic algebraic properties of these sets of numbers are presented. |
Keywords and phrases: rationality, m-factorial numbers, p-adic numbers. |
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