Axel Thue | |
---|---|
Born | |
Died | 7 March 1922 59) | (aged
Nationality | Norwegian |
Alma mater | University of Kristiania |
Known for | Thue's theorem, Thue systems |
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
- Roth's theorem – Algebraic numbers are not near-rational
- Semi-Thue system – String rewriting system
- Thue equation – Diophantine equation involving an irreducible bivariate form of deg > 2 over the rationals
- Thue–Morse sequence – Infinite binary sequence generated by repeated complementation and concatenation
- Thue's lemma – Representation of modular integers by "small" fractions
- 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 at the Mathematics Genealogy Project
- Axel Thue private archive exists at NTNU University Library Dorabiblioteket
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