JP Journal of Algebra, Number Theory and Applications
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Abstract: We find a representation for the Maclaurin coefficients of the Hurwitz zeta function in terms of semi-convergent series
where are the Bernoulli polynomials and are the (absolute)
Stirling
numbers of the first kind. When this gives a representation for the
coefficients of the Riemann zeta function. Our main instrument is a certain
series transformation formula.
A similar result is proved also for the Maclaurin coefficients
of the Lerch zeta function.
