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math.CA2023
Berndt-Type Integrals of Order Three and Series Associated with Jacobi Elliptic Functions
Hongyuan Rui, Ce Xu, Jianqiang Zhao
In this paper, we first establish explicit evaluations of six classes of hyperbolic sums by special values of the Gamma function by using the tools of the Fourier series expansions…
math.NT2023
Ramified and Unramified Motivic Multiple -, - and -Values
Ce Xu, Jianqiang Zhao
In this paper, we consider several variants of motivic multiple zeta values of level two by restricting the summation indices to fixed parity patterns. These variants include Hoffm…
math.NT2023
On Some Unramified Families of Motivic Euler Sums
Ce Xu, Jianqiang Zhao
It is well known that sometimes Euler sums (i.e., alternating multiple zeta values) can be expressed as $\Q$-linear combinations of multiple zeta values (MZVs). In her thesis Glano…