carpathian_2002_18_065_068_001

On the convergence of the series sigmaan(1−xn)/log(1+n)


George Pataki


Abstract

carpathian_2002_18_065_068_abstract

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carpathian_2002_18_065_068

We show that, for any sequence (an) of positive numbers and any bounded sequence (xn) of real numbers, the series Ean and Ean^1-xn/log(1+n) either both converge or both diverge.

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Author(s)

Pataki, George