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arXiv · 1001.3068

Coefficients in powers of the log series

Donald M. Davis
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Abstract

We determine the p-exponent in many of the coefficients in the power series (log(1+x)/x)^t, where t is any integer. In our proof, we introduce a variant of multinomial coefficients. We also characterize the power series x/log(1+x) by certain zero coefficients in its powers.

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Donald M. Davis. 2010-01-18. Coefficients in powers of the log series. https://arxiv.org/abs/1001.3068

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