Mathematician:Alexander Osipovich Gelfond
Russian mathematician and prolific writer (Russian: Алекса́ндр О́сипович Ге́льфонд) best known for the Gelfond-Schneider Theorem.
Established in $1929$ that $e^\pi$ is transcendental.
Not to be confused with Israel Moiseevich Gelfand.
- Born: 24 Oct 1906, St Petersburg, Russia
- Died: 7 Nov 1968, Moscow, Russia
Theorems and Definitions
- Gelfond-Schneider Theorem (independently of Theodor Schneider)
- Gelfond's Constant
- Gelfond-Schneider Constant (with Theodor Schneider)
Results named for Alexander Osipovich Gelfond can be found here.
Definitions of concepts named for Alexander Osipovich Gelfond can be found here.
- 1929: The arithmetic properties of entire functions
- 1929: Transcendental numbers (in which the Gelfond-Schneider Theorem was first conjectured)
- 1930: An outline of the history and the present state of the theory of transcendental numbers
- 1933: Gram determinants for stationary series (with Aleksandr Yakovlevich Khinchin)
- 1933: A necessary and sufficient criterion for the transcendence of a number
- 1933: Functions that take integer values at the points of a geometric progression
- 1934: On the seventh problem of D Hilbert
- 1934: On the seventh problem of Hilbert
- 1936: Ischislenie konechnykh raznostey (The calculus of finite differences) (second edition 1952)
- 1952: Transcendentnye algebraicheskie chisla (Transcendental and algebraic numbers)
- 1952: Solving equations in integers (English translation 1960)
- 1962: Elementary methods in the analytic theory of numbers (with Yuri Vladimirovich Linnik)
- 1966: Residues and their applications