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math.NT2021
Some estimates of the generalized beukers integral with techniques of partial fraction decomposition
Xiaowei Wang
In this paper we establish the generalized Beukers integral with some methods of partial fraction decomposition. Thus one obtains an explicit expression of…
math.NT2021
On Some Integral Representation Of Involving Nielsen's Generalized Polylogarithms And The Related Partition Problem
Xiaowei Wang
In this paper, we study a family of single variable integral representations for some products of , where is Riemann zeta function and is positive integer. Such…
math.NT2020
A New Series Representation Involving Root Of Unity For The Values Of Riemann Zeta Function At Integer Arguments
Xiaowei Wang
In this paper we provide a new series representation for the values of Riemann zeta function at integer arguments, namely: $ ζ(m)=\sum_{n=1}^{\infty}\frac{m(-1)^{n-1}Γ(1-ω_{m}n)...…