2 papers
math.CO2026
Abelian-normal decimal expansions
John M. Campbell
A landmark paper on normal numbers due to Champernowne [J. London Math. Soc., 1933] provided the first explicit construction of a normal number. Since many research works have conc…
math.NT2025
Extensions of the truncated pentagonal number theorem
John M. Campbell
Andrews and Merca introduced and proved a -series expansion for the partial sums of the -series in Euler's pentagonal number theorem. Kolitsch, in 2022, introduced a generali…