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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 5, Issue 2, Pages 287 - 291 (August 2005)

A NOTE ON IRRATIONALITY OF SOME QUANTITIES. III

Takeshi Okano (Japan) and Daishi Watabe (Japan)

Abstract:

Suppose that are certain positive irrational numbers. In this paper, we prove that is irrational in particular. For example: For each positive integer i, define

where such that Then is irrational.

Keywords and phrases:

irrationality.

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P-ISSN: 0972-5555

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