Some asymptotic formulas on generalized divisor functions, III
András Sárközy, P. Erdös (1982)
Acta Arithmetica
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András Sárközy, P. Erdös (1982)
Acta Arithmetica
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Carl Pomerance (1986)
Acta Arithmetica
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Aleksandar Ivić (1995)
Acta Arithmetica
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Aleksandar Ivić (1987)
Acta Arithmetica
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Maurice Mignotte, Michel Waldschmidt (1989)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Kane, Daniel (2004)
Integers
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H. Halberstam, H.-E. Richert (1971)
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.