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SOME DIVISIBILITY PROPERTIES OF THE EULER FUNCTION
Published online by Cambridge University Press: 29 November 2005
Abstract
Let $\varphi(\cdot)$ denote the Euler function, and let $a>1$ be a fixed integer. We study several divisibility conditions which exhibit typographical similarity with the standard formulation of the Euler theorem, such as $a^n \equiv 1\!\!\!\!\pmod{\varphi(n)}$, and we estimate the number of positive integers $n\le x$ satisfying these conditions.
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- Research Article
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- 2005 Glasgow Mathematical Journal Trust
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