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- W1981552913 abstract "We examine variations of the harmonic series by grouping terms into “washings” that alternate sign with the number of terms in a washing growing exponentially with respect to a fixed base. The bases x = 1 and x = ∞ correspond to the alternating harmonic series and the usual harmonic series; we first consider other positive integral bases and further we consider positive real number bases with a unique way to make sense of adding a non-integral number of terms together. In both cases, we prove a remarkable result regarding the difference between the upper and lower convergent values of the series, and give some analysis of this behavior." @default.
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- W1981552913 date "2013-01-01" @default.
- W1981552913 modified "2023-10-16" @default.
- W1981552913 title "One Step Forward, Two Steps Back: Biconvergence of Washed Harmonic Series" @default.
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- W1981552913 doi "https://doi.org/10.4236/apm.2013.33044" @default.
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