Axel Thue

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Axel Thue
Axel Thue (1863-1922)
Born(1863-02-19)19 February 1863
Died7 March 1922(1922-03-07) (aged 59)
Alma materUniversity of Kristiania
Known forThue equation
Thue problem
Thue's lemma
Thue's theorem
Thue–Morse sequence
Thue–Siegel–Roth theorem
Prouhet–Thue–Morse constant
AwardsFridtjof Nansen Prize (1913)
Scientific career
FieldsMathematician
InstitutionsUniversity of Kristiania
Trondheim Technical College
Thesis (1889)
Doctoral advisorElling Holst
Doctoral studentsThoralf 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.

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

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See also

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  • Thue equation – Diophantine equation involving an irreducible bivariate form of deg > 2 over the rationals
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  • 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

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  1. ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
  2. ^ Ronald V. Book and Friedrich Otto, String-rewriting Systems, Springer, 1993, Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value)., p. 36.
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