Series Expressions
Khinchin's constant may be expressed as a rational zeta series in the form
or, by peeling off terms in the series,
where N is an integer, held fixed, and ζ(s, n) is the Hurwitz zeta function. Both series are strongly convergent, as ζ(n) − 1 approaches zero quickly for large n. An expansion may also be given in terms of the dilogarithm:
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