Sums of arithmetic functions over values of binary forms

Details Sums of arithmetic functions over values of binary forms Sums of arithmetic functions over values of binary forms

2006-04-05

arxiv.org/abs/math/0604119v1

Mathematics

Number Theory

12 pages

Scientific paper

Given a suitable arithmetic function h, we investigate the average order of h
as it ranges over the values taken by an integral binary form F. A general
upper bound is obtained for this quantity, in which the dependence upon the
coefficients of F is made completely explicit.

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