Mathematician:Alexander Osipovich Gelfond

Mathematician
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.

Nationality
Russian

History

 * Born: 24 Oct 1906, St Petersburg, Russia
 * Died: 7 Nov 1968, Moscow, Russia

Theorems and Definitions

 * Gelfond-Schneider Theorem (independently of )
 * Gelfond-Schneider Constant (with )

Books and Papers

 * 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 )
 * 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 )
 * 1966: Residues and their applications