On the distribution of the values of Euler's function
Carl Pomerance (1986)
Acta Arithmetica
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Carl Pomerance (1986)
Acta Arithmetica
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P. Turán (1967)
Acta Arithmetica
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Helmut Maier, Carl Pomerance (1988)
Acta Arithmetica
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Stanisław Knapowski (1961)
Acta Arithmetica
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T. Shorey (1972)
Acta Arithmetica
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Carl Pomerance (1986)
Acta Arithmetica
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Aleksandar Ivić (1995)
Acta Arithmetica
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Eira J. Scourfield (2004)
Journal de Théorie des Nombres de Bordeaux
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In 1989, E. Saias established an asymptotic formula for with a very good error term, valid for , , We extend this result to an algebraic number field by obtaining an asymptotic formula for the analogous function with the same error term and valid in the same region. Our main objective is to compare the formulae for and and in particular to compare the second term in the two expansions.