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  • 1 Universität fűr Bodenkultur Institut für Mathematik Peter Jordan-Straße 82 A-1190 Wien Austria
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Abstract  

For the number of integer solutions of the title equation, withW≤;x (x a large parameter), an asymptotics of the form Ax log x + Bx + O(x1/2 (log x)3 (loglog x)2) is established. This is achieved in a general setting which furnishes applications to some other natural arithmetic functions.

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