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Additive Number Theory via Approximation by Regular Languages.

Authors :
Bell, Jason
Lidbetter, Thomas F.
Shallit, Jeffrey
Source :
International Journal of Foundations of Computer Science; Sep2020, Vol. 31 Issue 6, p667-687, 21p
Publication Year :
2020

Abstract

We prove some new theorems in additive number theory, using novel techniques from automata theory and formal languages. As an example of our method, we prove that every natural number > 2 5 is the sum of at most three natural numbers whose base- 2 representation has an equal number of 0 's and 1 's. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01290541
Volume :
31
Issue :
6
Database :
Complementary Index
Journal :
International Journal of Foundations of Computer Science
Publication Type :
Academic Journal
Accession number :
146967878
Full Text :
https://doi.org/10.1142/S0129054120410014