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math.NT2026
Residue Theorem, Regularization and Parity Theorem
Jia Li, Ce Xu
In this paper, we employ contour integration and residue calculus to derive explicit parity formulas for (cyclotomic) multiple zeta values (MZVs). A key innovation lies in applying…
math.NT2025
A partial result towards the Chowla--Milnor conjecture
Li Lai, Jia Li
The Chowla--Milnor conjecture predicts the linear independence of certain Hurwitz zeta values. In this paper, we prove that for any fixed integer , the dimension of…