10 problems

Let $\mathcal{E}_k$ be the weight-$k$ component of the algebra of multiple Eisenstein series. Define the generating series for modular forms and cusp forms by … Here…

For each weight $n$, let $\mathsf{AMSV}_n$ denote the rational vector space of alternating multiple $s$-values. Recurrence dimension conjecture. … and, for every $n\ge3$, … The pap…

For each $n\ge2$, let $\mathsf{AMtV}_n$ denote the rational vector space of alternating multiple $t$-values of weight $n$. Exponential dimension conjecture. … The paper lists this…

For each weight $n$, let $\mathsf{AMTV}_n$ denote the rational vector space of alternating multiple two-one values of weight $n$. Tribonacci dimension conjecture. The generating fu…

Let $\FES_{w,1}$ denote the $\Q$-vector space of finite Euler sums of weight $w$ and superbity one, and set $f_w=\dim_{\Q}\FES_{w,1}$ for $w\ge1$. Finite Euler-sum dimension conjec…

For each positive integer $w$, let $\FMZ_{w,2}$ be the $\Q$-vector space generated by finite multiple zeta values of weight $w$ and superbity two. Define $d_{0,2}=1$ and…

For positive integers $w$ and $\ell$, let $\FMZ_{w,\ell}$ be the $\Q$-vector space generated by finite multiple zeta values of weight $w$ and superbity $\ell$. Arbitrary-superbity…

Let ${\mathbf Z}_w^{\rm O}$ be the $\Q$-vector space generated by Okounkov's type O $q$-multiple zeta values $\frakz_q^{\rm O}[\bfs]$ with $|\bfs|\leq w$. Okounkov's dimension conj…

For each weight $w$, let $\mathcal{L}_w$ be the $\mathbb{Q}$-linear space generated by the values $\mathop{\rm Li}\nolimits_{\vec{s}}(1/2)$ with $w(\vec{s})=w$, and let $f_0=f_1=1$…

Prime-level weight-three conjecture.