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math.NT2022★ 1 cited
Parametric Euler -sums of odd harmonic numbers
Ce Xu, Lu Yan
In this paper, we define a parametric variant of generalized Euler sums and call them the (alternating) parametric Euler -sums. By using the contour integration method and resid…
math.NT2021
The reciprocals of tails of the alternating Riemann zeta function
Zhonghua Li, Lu Yan
In this paper, we give the integer parts of reciprocals of tails of the alternating Riemann zeta function at by using several new inequalities and elementary method.