Axel Thue
Axel Thue | |
|---|---|
 Axel Thue (1863-1922) | |
| Born | 19 February 1863 |
| Died | 7 March 1922 (aged 59) |
| Nationality | Norwegian |
| Alma mater | University of Kristiania |
| Known for | Thue equation Thue problem Thue's lemma Thue's theorem Thue–Morse sequence Thue–Siegel–Roth theorem Prouhet–Thue–Morse constant |
| Awards | Fridtjof Nansen Prize (1913) |
| Scientific career | |
| Fields | Mathematician |
| Institutions | University of Kristiania Trondheim Technical College |
| Thesis | (1889) |
| Doctoral advisor | Elling Holst |
| Doctoral students | Thoralf Skolem |
Axel Thue (Norwegian: [tʉː]; 19 February 1863 – 7 March 1922) was a Norwegian mathematician, known for his original work in diophantine approximation and combinatorics.
Work
Thue published his first important paper in 1909.[1]
He stated in 1914 the so-called word problem for semigroups or Thue problem, closely related to the halting problem.[2]
His only known PhD student was Thoralf Skolem.
The esoteric programming language Thue is named after him.
Publications
- Thue, A. (1909), "Über Annäherungswerte algebraischer Zahlen", Journal für die reine und angewandte Mathematik, 1909 (135): 284–305, doi:10.1515/crll.1909.135.284, ISSN 0075-4102, S2CID 125903243
- Thue, A. (1977) [1912], "Über die gegenseitige Lage gleicher Teile gewisser Zeichenreihen", Selected Math. Papers of Axel Thue, Universiteitsforlaget: 67
See also
- Thue equation – Diophantine equation involving an irreducible bivariate form of deg > 2 over the rationals
- Thue number
- Thue's lemma – Representation of modular integers by "small" fractions
- Semi-Thue system – String rewriting system
- Thue–Morse sequence – Infinite binary sequence generated by repeated complementation and concatenation
- Roth's theorem – Algebraic numbers are not near many rationals
- Plastic ratio – Number, approximately 1.3247
- Word problem for groups – Problem in finite group theory
References
- ^ O'Connor, John J.; Robertson, Edmund F., "Axel Thue", MacTutor History of Mathematics Archive, University of St Andrews
- ^ Ronald V. Book and Friedrich Otto, String-rewriting Systems, Springer, 1993, ISBN 0-387-97965-4, p. 36.
External links
- Axel Thue private archive exists at NTNU University Library Dorabiblioteket