JP Journal of Algebra, Number Theory and Applications
Volume 36, Issue 3, Pages 259 - 268
(June 2015) http://dx.doi.org/10.17654/JPANTAJun2015_259_268 |
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ON EXPANSIONS OF REAL NUMBERS INTO INVERSE FACTORIALS AND FIELDS INDUCED BY RELATED METRICS
Claude Gauthier
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Abstract: We show that every real number can be represented uniquely in terms of inverse factorials to any given power Also, we obtain new fields from the completion of Q with a metric specific to each of these values of m. These fields have similarities with p-adic fields. |
Keywords and phrases: irrationality, rational numbers as sums of fractions, inverse factorial expansions, power series fields, p-adic fields. |
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