Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

This project is a comprehensive collection of Python functions implemented within a single Jupyter Notebook (ProgramCodes.ipynb). It serves as a computational library focusing primarily on Number ...

Abstract: This paper introduces a new paradigm for the construction of reversible transforms that map integers to integers. Transform matrices with integer entries are first considered, and the ...

This repository presents the Quantum Symmetry Factorization (QSF) algorithm, an advanced integer factorization technique leveraging quantum-inspired symmetry detection. QSF enhances traditional ...