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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…
math.NT2024
Applications of the icosahedral equation for the Rogers-Ramanujan continued fraction
John M. Campbell
Let denote the Rogers-Ramanujan continued fraction for . By applying the RootApproximant command in the Wolfram language to expressions involving the theta function…