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A new characterization of Carmichael numbers via a generalization of Lehmer's totient problem
new characterization Carmichael numbers generalization of Lehmer's totient problem
2011/1/20
Lehmer’s totient problem consists of determining the set of positive integers n such that '(n)|n − 1 where ' is Euler’s totient function. Any such composite number is a Carmichael number.
In this paper we present a new characterization of Sobolev spaces on Euclidian spaces ($\mathbb{R}^n$). Our characterizing condition is obtained via a quadratic multiscale expression which exploits t...