7 problems

Let $S=S(a,b,c;n)$ be the summand obtained from the WZ pair in the harmonic extension of the displayed Ramanujan $1/\pi$-series, and let $V_N(S)$ be the span of the coefficients of…

Let $S_1,S_2,S_3$ be the three summands obtained from the WZ seeds used to construct harmonic extensions of the displayed Ramanujan $1/\pi$-formula, and let $V_N(S_i)$ denote the s…

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…

Russell's conjecture for level 2. There exists a polynomial $P(u,v)$ of degree $(p+1)/2$ in $u$ and $v$ such that

Modular-identity conjecture. If one of the relations

Monodromy-matrix conjecture. The monodromy matrix around $z=z_c$ is

Guillera–Almkvist conjecture. The quantities $r$, $\alpha_0$, and $\tau_0^2$ are rational if and only if $z_0$, $c_0$, $b_0$, and $a_0$ are algebraic.