Zeta annuities, fractional calculus, and polylogarithms

Jim Tao

MPRA Paper from University Library of Munich, Germany

Abstract: We derive the present value and accumulated value formulas for zeta annuities-immediate, due, and continuously payable for all real values of s. Taking the limit n → ∞, the annuities become perpetuities, and the present value formula for a zeta perpetuity-immediate coincides with the polylogarithm.

Keywords: annuity; Riemann zeta function; fractional calculus; polylogarithm (search for similar items in EconPapers)
JEL-codes: G22 (search for similar items in EconPapers)
Date: 2022-03-03
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:112204

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