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Alternating Euler $T$-sums and Euler $\tilde S$-sums (2004.04556v3)
Published 7 Apr 2020 in math.NT
Abstract: In this paper, we study the alternating Euler $T$-sums and related sums by using the method of contour integration. We establish the explicit formulas for all linear and quadratic Euler $T$-sums and related sums. Some interesting new consequences and illustrative examples are considered.
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