OpenAlex ·
The Mirror Theorem: Central Incidence Saturation in Keith Recurrences
- Published
- Source
- OpenAlex
- Published in
- arXiv (Cornell University)
- DOI
- 10.48550/arxiv.2610.10557
- Original
- Read it at the publisher
- Topics
Abstract
Can a mirror emerge when numbers return? Some numbers reappear in sequences generated from their own digits. Known as Keith numbers since 1987, they are the starting point for Federico Ignacio Zamponi’s Keith mirrors, a class defined by how terms occur in the recurrence equations. Nearly four decades later, the Mirror Theorem classifies this family across all number bases from 3 onward: exactly 35 mirrors with three or more digits, alongside two infinite families of two-digit mirrors. The paper includes mathematical proofs and code to reproduce the finite classification.
The authors’ abstract, as arXiv lists it. arXiv’s listings, abstracts included, are free for anyone to reuse.
Read it on ReadSearch
Each opens after you create an account, and brings you back to this paper.
More in Statistical Mechanics
Coherence in Biological Systems
Automated search for highly contextual Kochen-Specker proofs
Analytic non-axisymmetric 3D MHD equilibria without stellarator symmetry
Schwinger stability of T-duality-inspired extremal black holes
General relativity and its modifications as effective field theories of $GL(4)$ breaking
Get the few papers worth your time in Statistical Mechanics every morning.
ReadSearch reads the new papers in your field each day and brings you the few worth reading, each with its key finding in a sentence.