Some truncated identities of Gauss

Published 22 May 2018 in math.NT and math.CA | (1805.08648v3)

Abstract: Motivated by the works of Andrews-Merca and Guo-Zeng, we establish some truncated identities of Gauss by using some summation formulas from the works of Zhi-Guo Liu. These give three new expansions for partial sums of Gauss' triangular series.

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Bing He

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