# The Pythagorean Heritage: From Number Theory and Combinatorics to Artificial Intelligence

A special issue of *Axioms* (ISSN 2075-1680). This special issue belongs to the section "Algebra and Number Theory".

Deadline for manuscript submissions: **30 December 2024** | Viewed by 6655

## Special Issue Editors

**Interests:**number theory; iwasawa theory; combinatorics; fibonacci numbers; mumber sequences; graph theory; unimaginable numbers; combinatorics on words; fractal geometry; polytopes; elliptic curves; cryptography; applied mathematics; cellular automata; mathematical models; chaos theory; nonlinear dynamics; shallow water

Special Issues, Collections and Topics in MDPI journals

## Special Issue Information

Dear Colleagues,

The evolution of ideas born in the Pythagorean School in Magna Graecia (in today's Calabria, Italy), between the sixth and third centuries BC, can now be observed in the most varied fields of mathematical and scientific knowledge. The number, seen as *arche* or first principle of all things, occupied a truly privileged place: the Pythagoreans *“assumed the elements of numbers to be the elements of everything, and the whole universe to be a proportion or number"* (Aristotle). Examples of such influences are contained in the volume “From Pythagoras to Schützenberger: Unimaginable numbers” edited by us and others (see https://www.researchgate.net/publication/350631850_From_Pythagoras_to_Schutzenberger_Unimaginable_numbers). Themes with the same roots, but with even broader intentions than those of this SI, will be discussed in the “Special Pythagorean Stream” organized by us and others in the International Conference NUMTA 2023 (see https://www.numta.org/special-streams-and-sessions/ and the instructions contained therein for submissions).

Number theory, geometry, algebra, combinatorics, discrete mathematics, etc., but also computer science and information theory may be considered the evolution of the ideas developed by the Pythagoreans. This SI aims to collect broad and high-level contributions that show some kind of connection or root with Pythagorean, Magna Graecia or even Siceliot (e.g., Archimedean) mathematics. Works on Diophantine geometry, unimaginable numbers, theory of graphs, groups, rings, combinatorics of words, elliptic curves, cryptography, and mathematical aspects in blockchain and artificial intelligence are also welcome.

Prof. Dr. Fabio Caldarola

Prof. Dr. Gianfranco d'Atri*Guest Editors*

**Manuscript Submission Information**

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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## Keywords

- number theory
- combinatorics
- sequences of integers
- Pythagorean triples
- Pythagorean fields
- Fibonacci numbers
- combinatorics on words
- unimaginable numbers
- graph theory
- group theory
- commutative algebra
- elliptic curves
- cryptography
- artificial intelligence