On the irrationality measure of certain numbers
classification
🧮 math.NT
keywords
measuresqrtirrationalitynumbersalphacertainestimatesfrac
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The paper presents upper estimates for the irrationality measure and the non-quadraticity measure for the numbers $\alpha_k=\sqrt{2k+1}\ln\frac{\sqrt{2k+1}-1}{\sqrt{2k+1}+1}, \ k\in\mathbb N.$
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