6 problems

Let $S=S(a,b,c,d,e;n)$ be the summand obtained from the WZ-seed extension of the displayed $\zeta(5)$ series, and let $V_N(S)$ be the span of the coefficients of degree-$N$ paramet…

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 $S_1=S_1(a,b,c,d;n)$ and $S_2=S_2(a,b,c,d;n)$ be the two summands obtained from the WZ seeds in the harmonic extension of the displayed series, and let $V_N(S_i)$ be their degr…

Let $S_1,S_2,S_3$ be the three summands defined from the WZ identities in the preceding construction, and let $V_N(S_i)$ denote the span of the coefficients of degree-$N$ parameter…

S1 dimension conjecture. The following two assertions are conjectured: