Axel Thue

Axel Thue (1863-1922)

Born| (1863-02-19)19 February 1863

Tønsberg, Norway

Died| 7 March 1922(1922-03-07) (aged 59)

Oslo, Norway

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 (no; 19 February 1863 – 7 March 1922) was a Norwegian mathematician, known for his original work in diophantine approximation and combinatorics.

## Contents

* 1 Work
* 2 Publications
* 3 See also
* 4 References
* 5 External links

## 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, http://resolver.sub.uni-goettingen.de/purl?PPN243919689_0135
* Thue, A. (1977), "Über die gegenseitige Lage gleicher Teile gewisser Zeichenreihen", Selected Math. Papers of Axel Thue, Universiteitsforlaget: 67, https://books.google.com/books?id=I0KFXwAACAAJ

## 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-rational
* Plastic ratio - Number, approximately 1.3247
* Word problem for groups - Problem in finite group theory

## References

1. ↑ O'Connor, John J.; Robertson, Edmund F., "Axel Thue", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Thue.html .
2. ↑ 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

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