3 papers
math.NT2026
Weighted Recursions for the Smallest Parts Function
Matthew Ortiz
We establish new polynomial-weighted recursions for Andrews' smallest parts function. Our results use the generating series for the spt function, a harmonic Maass form of weight 3/…
math.NT2026
Weighted Recursions for Hurwitz Class Numbers
Matthew Ortiz, Martin Raum, Olav K. Richter
We establish new recursions for Hurwitz class numbers with polynomial weights. In contrast to previous recursions, our results decouple class numbers of even and odd discriminants.…
math.CA2025
The higher order partial derivatives of Okamoto's function with respect to the parameter
Pieter Allaart, Nathan Dalaklis, Kiko Kawamura +2
Let be Okamoto's family of continuous self-affine functions, introduced in [{\em Proc. Japan Acad. Ser. A Math. Sci.} {\bf 81} (2005), no. 3, 47--50]. This fam…