Mathematician:Cahit Arf

Mathematician

Turkish mathematician best known for his work in abstract algebra and algebraic number theory.

Nationality

Turkish

History

• Born: 11 Oct 1910, Salonika, Ottoman Empire (now Thessaloniki, Greece)
• Died: 26 Dec 1997, Istanbul, Turkey

Theorems and Definitions

• Arf Invariant
• Arf Semigroup
• Arf Ring
• Hasse-Arf Theorem (with Helmut Hasse)

Books and Papers

• 1940: Untersuchungen über reinverzweigte Erweiterungen diskret bewerteter perfekter Körper (J. reine angew. Math. Vol. 181: pp. 1 – 44)
• 1941: Untersuchungen über quadratische Formen in Körpern der Charakteristik 2, I (J. reine angew. Math. Vol. 183: pp. 148 – 167)
• 1948: Une interprétation algébrique de la suite des ordres de multiplicité d'une branche algébrique (Proceedings of the London Mathematical Society, Second Series Vol. 50 (4): pp. 256 – 287)
• 1954: On a generalization of Green's formula and its application to the Cauchy problem for a hyperbolic equation (in Studies in mathematics and mechanics, presented to Richard von Mises)
• 1984: The advantage of geometric concepts in mathematics

Sources

• John J. O'Connor and Edmund F. Robertson: "Cahit Arf": MacTutor History of Mathematics archive