# Mathematician:Alexander Osipovich Gelfond

## Contents

## 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 Israel Moiseevich Gelfand.

## Nationality

Russian

## History

- 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.

## Publications

- 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*