Special Issue "The Pythagorean Heritage: From Number Theory and Combinatorics to Artificial Intelligence"
Deadline for manuscript submissions: 31 December 2023 | Viewed by 3231
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
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
Manuscript Submission Information
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- number theory
- sequences of integers
- Pythagorean triples
- Pythagorean fields
- Fibonacci numbers
- combinatorics on words
- unimaginable numbers
- graph theory
- group theory
- commutative algebra
- elliptic curves
- artificial intelligence