Polynomial formulations of Multivariable Arithmetic Progressions of Alternating Powers
Number Theory
2023-12-05 v1
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.
Keywords
Cite
@article{arxiv.2312.00974,
title = {Polynomial formulations of Multivariable Arithmetic Progressions of Alternating Powers},
author = {Brian Nguyen},
journal= {arXiv preprint arXiv:2312.00974},
year = {2023}
}