Values of the Euler Function in Various Sequences

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Values of the Euler Function in Various Sequences

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[-] show simple item record Banks, William David, 1964- Ford, Kevin Luca, Florian Pappalardi, Francesco Shparlinski, Igor E. 2011-05-06T18:31:40Z 2011-05-06T18:31:40Z 0000
dc.description This is a preprint of an article published in Monatshefte für Mathematik (2005), Volume 146, Number 1, 1-19, DOI: 10.1007/s00605-005-0302-7. The final publication is available at en_US
dc.description.abstract Let φ (n) and λ(n) denote the Euler and Carmichael functions, respectively. In this paper, we investigate the equation φ (n)r = λ(n)s, where r ≥ s ≥ 1 are fixed positive integers. We also study those positive integers n, not equal to a prime or twice a prime, such that φ (n) = p−1 holds with some prime p, as well as those positive integers n such that the equation φ (n) = f(m) holds with some integer m, where f is a fixed polynomial with integer coefficients and degree deg f > 1. en_US
dc.language.iso en_US en_US
dc.relation.ispartof Mathematics publications (MU) en
dc.source.uri en_US
dc.subject cardinality en_US
dc.subject.lcsh Number theory en_US
dc.subject.lcsh Cardinal numbers en_US
dc.title Values of the Euler Function in Various Sequences en_US
dc.type Preprint en_US
dc.relation.ispartofcommunity University of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics

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