Average number of squares dividing mn
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 2
Abstract
We study the asymptotic behaviour of the two-dimensional summatory function _ m,n_x τ1,2(mn), where τ1,2(n) = _ ab2=n 1, using recent result of Balazard, Naimi, P´etermann and the complex integration method. An asymptotic formula with an error term O(x10/7) is obtained. Under the Riemann hypothesis the error term can be improved up to O(x7/5).
Authors and Affiliations
A. V. Lelechenko
Keywords
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