Coefficients in powers of the log series

2010/01/18 by Davis, Donald M.
#11A99 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1001.3068

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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