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math.NT2026
Polylogarithmic motivic Chabauty-Kim for : the geometric step via resultants
David Jarossay, David T. -B. G. Lilienfeldt, Francesco Maria Saettone +2
Given a finite set of distinct primes, we propose a method to construct polylogarithmic motivic Chabauty-Kim functions for using resul…
math.NT2025
-adic multiple zeta values and binomial multiple harmonic sums
Hidekazu Furusho, David Jarossay
We present a concise method for deriving an explicit formula for -adic multiple zeta values. The formula features a variant of multiple harmonic sums, termed binomial multiple h…
math.NT2025
Pro-unipotent harmonic actions and a computation of -adic cyclotomic multiple zeta values
David Jarossay
We obtain formulas relating -adic cyclotomic multiple zeta values and cyclotomic multiple harmonic sums. In particular, we obtain a series formula for -adic cyclotomic multip…