3 problems

0 votes0 replies1 view
Thakur's linear-independence conjecture for positive-characteristic multiple zeta values
Thakur's conjecture. Multiple zeta values in positive characteristic are linearly independent over $\mathbb F_q$ . The conjecture was formulated as a fundamental problem in function…
Conjecturesolvedfinite-fields function-field-arithmetic multiple-zeta-valuesarXiv posted 2 days ago
0 votes0 replies0 views
Todd–Thakur dimension and basis conjectures for positive-characteristic multiple zeta values
Let $q$ be a prime power. For $w\in\mathbb N$ , define … and, for $w>q$ , set … Let $\mathcal Z_w$ be the $K$ -span of the positive-characteristic multiple zeta values of weight $w$ ,…
Conjecturesolveddimension-conjectures function-field-arithmetic multiple-zeta-valuesarXiv posted 2 days ago
0 votes0 replies0 views
The kernel conjecture for the $v$ -adic specialization map
Let $\overline{\mathcal{Z}}$ be the $\overline{k}$ -algebra generated by all $\infty$ -adic MZVs, and let $\overline{\mathcal{Z}}_v$ be the corresponding $v$ -adic algebra. The natura…
Conjectureopenalgebraic-independence function-field-arithmetic v-adic-multiple-zeta-valuesarXiv posted 2 days ago

Thakur's linear-independence conjecture for positive-characteristic multiple zeta values