In this paper we calculate some remarkable cubic and quartic series involving the tail of ln2. We also evaluate several linear and quadratic series with the tail of ln2.
The paper is about calculating in closed form the following multiple fractional part integral
where
,
are integers and
denotes the fractional part of x. We prove that the integral
can be expresses in ...terms of a difference of two rational numbers and a series involving Riemann zeta function values and some binomial coefficients.
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Journal Article
Peer reviewed
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In this paper we calculate some remarkable cubic and quartic series involving the tail of ln2. We also evaluate several linear and quadratic series with the tail of ln2.
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