Proves that v-adic Carlitz multiple polylogarithms satisfy a linear independence criterion over algebraic closures when deg(v)=1, implying a function-field analogue of the Furusho-Yamashita conjecture for v-adic multiple zeta values.
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A $v$-adic variant of Anderson-Brownawell-Papanikolas linear independence criterion and its application
Proves that v-adic Carlitz multiple polylogarithms satisfy a linear independence criterion over algebraic closures when deg(v)=1, implying a function-field analogue of the Furusho-Yamashita conjecture for v-adic multiple zeta values.