Number Theory;
Prime Factor;
Arithmetical Progression;
Diophantine Equation;
Multiplicative Function;
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摘要:
Letf be a multiplicative function and letΨf(x, y) denote the incomplete multiplicative sum Σn≤x,P(n)≤y f(n), whereP(n) denotes the greatest prime factor ofn. A Buchstab- and a Hildebrand equation forΨf(x, y) are derived.