A Cosine Integral Series (Open)
Summary: The problem asks for the evaluation of $\sum_{n=1}^{\infty} \text{Ci}(an)/n^2$, where $\text{Ci}(x)$ is the cosine integral and $a > 0$.
Classification: Primary, Classical Analysis; Secondary, Sequences and Series
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Ovidiu Furdui
Department of Mathematics
University of Toledo
Toledo, OH 43636-3390
Email 1: [email protected]
Email 2: [email protected]