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math.NT2026
Regularized Multitangent Functions and Reduction Theorem
Jia Li
We develop a direct analytic theory of stuffle-regularized multitangent functions and prove their reduction to finite linear combinations of monotangent functions, without using mo…
math.NT2026
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…
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…