Polynomial formulations of Multivariable Arithmetic Progressions of Alternating Powers

Brian Nguyen

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arXiv · 2312.00974

Polynomial formulations of Multivariable Arithmetic Progressions of Alternating Powers

Brian Nguyen

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Abstract

Taking inspiration from the work of Lanphier \cite{LANPHIER2022125716}, a generalized multivariable polynomial formulation for sums of alternating powers is given, as well as analogous sums. Furthermore, an analog of the Euler-Maclaurin Summation Formula is established and used to give asymptotic formulas for multivariable-type Lerch-Hurwitz zeta functions.

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Brian Nguyen. 2023-12-01. Polynomial formulations of Multivariable Arithmetic Progressions of Alternating Powers. https://arxiv.org/abs/2312.00974

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