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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Linear relations among points in E(L) for a Drinfeld module E over a finite extension L of F_q(t) are given by the solution space of an explicitly constructed homogeneous linear system over F_q[t], which also supplies an explicit bound on the size of a generating set.
Proves integrality of v-adic MZVs ζ_A(s)_v for almost all v via valuation estimates, as a function-field analogue of known p-adic results.
citing papers explorer
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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.
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Linear equations on Drinfeld modules
Linear relations among points in E(L) for a Drinfeld module E over a finite extension L of F_q(t) are given by the solution space of an explicitly constructed homogeneous linear system over F_q[t], which also supplies an explicit bound on the size of a generating set.
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Integrality of $v$-adic multiple zeta values
Proves integrality of v-adic MZVs ζ_A(s)_v for almost all v via valuation estimates, as a function-field analogue of known p-adic results.