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Number Theory and Symmetry

DOAB Directory of Open Access Books Available online

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Format:
Book
Author/Creator:
Planat, Michel, Editor.
Contributor:
Planat, Michel
Language:
English
Physical Description:
1 online resource (206 p.)
Place of Publication:
Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
Language Note:
English
Summary:
According to Carl Friedrich Gauss (1777-1855), mathematics is the queen of the sciences-and number theory is the queen of mathematics. Numbers (integers, algebraic integers, transcendental numbers, p-adic numbers) and symmetries are investigated in the nine refereed papers of this MDPI issue. This book shows how symmetry pervades number theory. In particular, it highlights connections between symmetry and number theory, quantum computing and elementary particles (thanks to 3-manifolds), and other branches of mathematics (such as probability spaces) and revisits standard subjects (such as the Sieve procedure, primality tests, and Pascal's triangle). The book should be of interest to all mathematicians, and physicists.

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