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Open access Sep 2026

The two-block odd partition function

We investigate arithmetic and combinatorial properties of the function a(n), which is the signed number of partitions of n into exactly two distinct part sizes, each occurring an odd number of times. We prove that a(n)≥0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepa...

M. Merca · 1 citation
Open access Oct 2026

Signed Enumeration of Partitions with Exactly k Distinct Magnitudes of Odd Multiplicity

We introduce and study a family of q-series {Ak(q)}k≥0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{A_k(q)\}_{k\ge 0}$$\end{document}...

M. Merca · 0 citations

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