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3 votes
0 answers
158 views

A sum of integrals representation involving $\zeta(4)$

2 votes
0 answers
356 views

A sum of two curious alternating binoharmonic series

12 votes
1 answer
1k views

An atypical integral with arctan, log, and radical

11 votes
1 answer
849 views

An intriguing integral representation of $\zeta^2(3)$

7 votes
0 answers
255 views

Series with numbers $\sum _{k=0}^{n-1}\frac{1}{2^k }\binom{2 k}{k}$

14 votes
3 answers
2k views

A daunting double integral with a simple closed form

8 votes
1 answer
442 views

An atypical special harmonic series

12 votes
1 answer
424 views

A somewhat intriguing dilogarithmic integral

8 votes
0 answers
384 views

Two nice (challenging) binoharmonic series

2 votes
0 answers
340 views

A sum of six alternating harmonic series

3 votes
0 answers
312 views

Two tough integrals with logarithms and polylogarithms

8 votes
3 answers
566 views

The calculation of the series $\sum_{n=1}^{\infty} (-1)^{n-1}\frac{H_{2n}}{n^4}$

4 votes
2 answers
271 views

A special harmonic series discovered by Jonathan Borwein and David Bailey

2 votes
2 answers
400 views

An advanced harmonic series of weight $5$ with harmonic numbers $\overline{H}_n$

11 votes
2 answers
1k views

Two very advanced harmonic series of weight $5$

3 votes
1 answer
209 views

A generalization involving a logarithmic integral

6 votes
0 answers
307 views

A multitude of challenging logarithmic integrals (Third part)

6 votes
0 answers
229 views

A multitude of challenging logarithmic integrals (Second part)

3 votes
0 answers
284 views

A multitude of challenging logarithmic integrals (First part)

1 vote
2 answers
482 views

A difficult infinite product