10 problems

Let $b$ and the integers $m_a$, indexed by rational numbers $a$, be integers, and consider a multiplicative relation … Here $\Gamma$ is Euler's Gamma function, and the product is u…

Let the multiple zeta values be the coefficients associated with the Drinfel'd associator, and let Property II refer to the listed relations of that associator, denoted in the sour…

Multiple zeta-values are numbers obtained from convergent nested sums, and their shuffle and product identities give relations among them. After regularization, these relations for…

Kawashima's completeness conjecture. The family of linear relations obtained by expanding the product on the left-hand side of Kawashima's identity using the shuffle product formul…

Let $\mathsf{LinKaw}^*$ and $\mathsf{Drop1}$ be the two families of relations defined in the source, with … Here $\mathcal{H}$ is the source's word algebra and $\phi$, $\ast$, $x$,…

Let $A_m^n$ be a unital ${\mathbb C}(q)$-algebra, and let $\{\mathsf X_r^{(i)}\}_{1\leq r\leq m-1,\,0\leq i\leq n}\subset A_m^n$ satisfy $\mathsf X_r^{(0)}=1$ together with the rel…

Let $\overline{\mathcal{Z}}^{1}$ be the $\overline{k}$-subalgebra generated by the infinity-adic single zeta values, and let $\overline{\mathcal{Z}}^{1}_v$ be the corresponding sub…

Let $p$) be a prime, and let $\zeta(\mathfrak{s})$ and $\zeta_p(\mathfrak{s})$ denote the real-valued and $p$-adic multiple zeta values associated with an admissible index…

Fix an integer $k$ and let $\Ppairing_k^\BR$ and $\Bpairing_k^\BR$ be the period and Betti intersection matrices associated with the Bessel moments. The Betti intersection pairing…

Let $\mathcal{A}^0$ be the algebra of convergent multiple zeta values, let $L:\mathcal{A}^0\to\mathbb{R}$ denote the multiple-zeta-value evaluation map, and let…