Axel Thue

{{Short description|Norwegian mathematician (1863–1922)}}

{{otheruses|Axel Thue (actor)}}

{{Infobox scientist

| name = Axel Thue

| image = Axel Thue.jpg

| image_size = 250px

| caption = Axel Thue (1863-1922)

| birth_date = {{birth date|1863|2|19|df=y}}

| birth_place = Tønsberg, Norway

| nationality = Norwegian

| death_date = {{death date and age|1922|3|7|1863|2|19|df=y}}

| death_place = Oslo, Norway

| field = Mathematician

| work_institution = University of Kristiania
Trondheim Technical College

| alma_mater = University of Kristiania

| thesis_title =

| thesis_url =

| thesis_year = 1889

| doctoral_advisor = Elling Holst

| doctoral_students = Thoralf Skolem

| known_for = Thue equation
Thue problem
Thue's lemma
Thue's theorem
Thue–Morse sequence
Thue–Siegel–Roth theorem
{{no wrap|Prouhet–Thue–Morse constant}}

| prizes = Fridtjof Nansen Prize (1913)

| religion =

}}

Axel Thue ({{IPA|no|tʉː|lang}}; 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.{{MacTutor Biography|id=Thue}}

He stated in 1914 the so-called word problem for semigroups or Thue problem, closely related to the halting problem.Ronald V. Book and Friedrich Otto, String-rewriting Systems, Springer, 1993, {{isbn|0-387-97965-4}}, p. 36.

His only known PhD student was Thoralf Skolem.

The esoteric programming language Thue is named after him.

Publications

  • {{Citation | last1=Thue | first1=A. | title=Über Annäherungswerte algebraischer Zahlen | url=http://resolver.sub.uni-goettingen.de/purl?PPN243919689_0135 | year=1909 | journal=Journal für die reine und angewandte Mathematik | issn=0075-4102 | volume=1909 | issue=135 | pages=284–305 | doi=10.1515/crll.1909.135.284| s2cid=125903243 | url-access=subscription }}
  • {{Citation | last1=Thue | first1=A. | title=Über die gegenseitige Lage gleicher Teile gewisser Zeichenreihen | url=https://books.google.com/books?id=I0KFXwAACAAJ | year=1977 |orig-year= 1912 | journal= Selected Math. Papers of Axel Thue, Universiteitsforlaget | pages=67 }}

See also

  • {{annotated link|Thue equation}}
  • {{annotated link|Thue number}}
  • {{annotated link|Thue's lemma}}
  • {{annotated link|Semi-Thue system}}
  • {{annotated link|Thue–Morse sequence}}
  • {{annotated link|Roth's theorem}}
  • {{annotated link|Plastic ratio}}
  • {{annotated link|Word problem for groups}}

References

{{reflist}}