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math.NT2020★ 2 cited
Dirichlet type extensions of Euler sums
Ce Xu, Weiping Wang
In this paper, we study the alternating Euler -sums and -sums, which are infinite series involving (alternating) odd harmonic numbers, and have similar forms and close relati…
math.NT2020★ 2 cited
Alternating Euler -sums and Euler -sums
Weiping Wang, Ce Xu
In this paper, we study the alternating Euler -sums and related sums by using the method of contour integration. We establish the explicit formulas for all linear and quadratic…