  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.
