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Euler's Function in Residue Classes
Authors:Dence  Thomas  Pomerance  Carl
Institution:(1) Department of Mathematics, Ashland University, Ashland, OH, 44805. E-mail;(2) Department of Mathematics, University of Georgia, Athens, GA, 30602. E-mail
Abstract:We discuss the distribution of integers n with phiv(n) in a particular residue class, showing that if a residue class contains a multiple of 4, then it must contain infinitely many numbers phiv(n). We get asymptotic formulae for the distribution of phiv(n) in the various residue classes modulo 12.
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