4 problems

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Sun's 1/pi series conjecture for S_n^{(2)}(1/11) and S_n^{(2)}(1/18)
Let … The two displayed series are conjectured to converge to the stated multiples of $1/\pi$ . Sun's 1/pi series conjecture. … and … The source presents these as open conjectures m…
Conjecturesolvedbinomial-coefficients pi-formulas ramanujan-seriesarXiv posted 2 days ago
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Cullen–Zhao Ramanujan $1/\pi^4$ formulas
For $n\geq 0$ , let $(a)_n$ denote the rising factorial, $(a)_n=a(a+1)\cdots(a+n-1)$ , with $(a)_0=1$ . Cullen–Zhao conjecture. The following two series identities hold: … These are R…
Conjectureopenhypergeometric-series pi-formulas ramanujan-formulasarXiv posted 2 days ago
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Z.W. Sun's hypergeometric identity for $\sqrt{3}\pi$
Z.W. Sun's conjectured identity. The series equals
Conjectureopenhypergeometric-series pi-formulas wilf-zeilberger-methodarXiv posted 2 days ago
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Y. Zhao's hypergeometric identity for a $\pi^{-4}$ series
Y. Zhao's conjectured identity. The series equals
Conjectureopenhypergeometric-series pi-formulas wilf-zeilberger-methodarXiv posted 2 days ago

Sun's 1/pi series conjecture for S_n^{(2)}(1/11) and S_n^{(2)}(1/18)