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I've been looking into two very specific forms that are related to the MRB constant$\sum _{n=1}^{\infty } (-1)^n \left(n^{\frac{1}{n}}-1\right)$ cf http://mathworld.wolfram.com/MRBConstant.html. They are $\sum _{n=1}^{\infty } (-1)^n \left(n^{\frac{u}{n}}-1\right)$
and
$\sum _{n=1}^{\infty } (-1)^n \left(n^{\frac{u}{n}}-u\right)$.
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Post Closed as "not a real question" by Todd Trimble, Andres Caicedo, J.C. Ottem, Gjergji Zaimi, Charles Matthews
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Two Specific sets of SumsI've been looking into two very specific forms that are related to the MRB constant. They are $\sum _{n=1}^{\infty } (-1)^n \left(n^{\frac{u}{n}}-1\right)$
and
$\sum _{n=1}^{\infty } (-1)^n \left(n^{\frac{u}{n}}-u\right)$.
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