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pisco
  • Member for 6 years, 6 months
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All Questions Answers
Score Newest
answer
6
Three conjectural series for $\pi^2$ and related identities
Oct 16
answer
5
Series for $\frac{\log m}{\pi}$ with summands involving harmonic numbers
Dec 10, 2022
question
4
Epstein zeta function for non-fundamental discriminant to L-series
May 25
answer
4
How to prove the identity $L(2,(\frac{\cdot}3))=\frac2{15}\sum\limits_{k=1}^\infty\frac{48^k}{k(2k-1)\binom{4k}{2k}\binom{2k}k}$?
Dec 21, 2022
answer
4
A vanishing sum and related $p$-adic congruences
Nov 3
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43
Remarkable logarithmic integral $\int_0^1 \frac{\log^2 (1-x) \log^2 x \log^3(1+x)}{x}dx$
39
Prove $\sum_{n=1}^\infty\frac{\cot(\pi n\sqrt{61})}{n^3}=-\frac{16793\pi^3}{45660\sqrt{61}}$
33
Closed Form for $~\int_0^1\frac{\text{arctanh }x}{\tan\left(\frac\pi2~x\right)}~dx$
30
Conjectural closed-form of $\int_0^1 \frac{\log^n (1-x) \log^{n-1} (1+x)}{1+x} dx$
28
Prove $n! +5$ is not a perfect square for $n\in\mathbb{N}$

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