Diophantine means pertaining to the ancient Greek mathematician Diophantus.
Diophantine equation | Diophantine geometry | Glossary of arithmetic and Diophantine geometry | Diophantine approximation | Diophantine |
Alan Baker and Gisbert Wüstholz, Logarithmic Forms and Diophantine Geometry, New Mathematical Monographs 9, Cambridge University Press, 2007, ISBN 978-0-521-88268-2.
It is in the field of prime representing functions that Sato co-authored a paper with James P. Jones, Hideo Wada, and Douglas Wiens entitled "Diophantine Representation of the Set of Prime Numbers", which won them the Lester R. Ford Award in Mathematics in 1976.
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Daihachiro Sato (June 1, 1932 – May 28, 2008) was a Japanesemathematician who was awarded the Lester R. Ford Award in 1976 for his work in number theory, specifically on his work in the Diophantine representation of prime numbers.
Alan Baker and Gisbert Wüstholz, Logarithmic Forms and Diophantine Geometry, New Mathematical Monographs 9, Cambridge University Press, 2007, ISBN 978-0-521-88268-2
The following lemma is usually known as Liouville's theorem (on diophantine approximation), there being several results known as Liouville's theorem.
(In another usage ) Diophantine refers to the Hellenistic mathematician of the 3rd century, Diophantus of Alexandria, who made initial studies of integer Diophantine equations.
Thue–Siegel–Roth theorem, also known as Roth's theorem, is a foundational result in diophantine approximation to algebraic numbers.