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math.NT2026
Rational Approximations for Reciprocals of Multiple Zeta Values and Trivariate Cauchy Numbers
Ce Xu, Jianqiang Zhao
In this paper, we will study a trivariate extension of the Cauchy numbers of both the first kind (also called Gregory coefficients) and the second kind (also called Nörlund numbers…
math.NT2026
Unramified Motivic Alternating Multiple Mixed Values
Ce Xu, Jianqiang Zhao
Many variants of the multiple zeta values have been studied in recent years. There are a few among them that remain to be real numbers, such as the multiple mixed values defined by…
math.AG2026
Unramified Motivic Multiple Mixed Values
Ce Xu, Jianqiang Zhao
The multiple mixed values (MMVs) are level two variants of multiple zeta values produced by restricting the summation indices to fixed parity patterns. One particularly interesting…