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math.NT2020
On Ramanujan Sums of a Real Variable and a New Ramanujan Expansion for the Divisor Function
Matthew S. Fox, Chaitanya Karamchedu
We show that the absolute convergence of a Ramanujan expansion does not guarantee the convergence of its real variable generalization, which is obtained by replacing the integer ar…
gr-qc2020
Electric Multipole Fields of Higher-Dimensional Massive Bodies
Matthew S. Fox
It was shown in a recent paper [J. Math. Phys. 60, 102502 (2019)] that slowly lowering an electric charge into a Schwarzschild-Tangherlini (ST) black hole endows the final state wi…