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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
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…