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arxiv: 1102.4644 · v1 · pith:F6RV52D3new · submitted 2011-02-23 · 🧮 math.NT

On the convergence of some alternating series

classification 🧮 math.NT
keywords convergenceseriesalternatingclassestablishotherresultssets
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We study the convergence sets of a class of alternating series. Among other things, our results establish the convergence of the series $\sum_n (-1)^n|\sin n|/n$.

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