integer-partitions

Generating integer partitions and related utilities in C and Python

Abelian Finite Groups decomposition

Blokk! is the ultimate puzzle game. It's also an interesting mathematical and algorithmic puzzle, which this project explores.

CLI programs invokable through bash scripts to completely enumerate a variety of mathematical objects & utilities to handle and generate musical data.

Reproducibility materials for Dalla Pria, Ruggiero, Spanò, “Exact inference via quasi-conjugacy in two-parameter Poisson–Dirichlet hidden Markov models”, JASA (forthcoming). This repository includes R code, R Markdown notebooks, and cached outputs to reproduce the analyses, simulations, and figures.

Algorithm to generate all unique partitions of an integer in Typescript

generate and index integer partitions with at most k parts, largest part <= m

Arithmetic beyond equal values — a finite mathematical framework for distinguishing and classifying different realizations with the same sum and product under shared prime context, with critical-support synthesis, constructive future separators, a sharp {5,7,11} classifier, and executable verification — Shunyaya Arithmetic Origin Resolution.

Combinatorial Games on Integer Partitions

This project contains code used to computationally verify the Weak Sarnak-Xue Density Hypothesis, as posed in the work of author Aviv Hendler as part of his Master's Thesis in Mathematics at the Hebrew University of Jerusalem, under the supervision of Dr. Shai Evra.

Julia implementation of partition-theoretic prime detection: expressions E1-E6 that vanish iff n is prime, based on Craig-van Ittersum-Ono (2024). Includes quasi-shuffle algebra, exact rational arithmetic, and companion notebooks for three research papers.