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arxiv: 1611.03571 · v1 · pith:YANBSXD7new · submitted 2016-11-11 · 🧮 math.NT

Some integrals related to the Basel problem

classification 🧮 math.NT
keywords integralsseriessomearctangentbaselcertainclassicalclosed
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We evaluate several arctangent and logarithmic integrals depending on a parameter. This provides a closed form summation of certain series and also gives integral and series representation of some classical constants.

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