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arXiv · 1511.08147

Addendum to: On the rational approximation of the sum of the reciprocals of the Fermat numbers

Michael Coons
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Abstract

As a corollary of the main result of our recent paper, {\em On the rational approximation of the sum of the reciprocals of the Fermat numbers} published in this same journal, we prove that for each integer $b\geq 2$ the irrationality exponent of $\sum_{n\geqslant 0} s_2(n)/b^n$ is equal to $2$.

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Michael Coons. 2015-11-24. Addendum to: On the rational approximation of the sum of the reciprocals of the Fermat numbers. https://arxiv.org/abs/1511.08147

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