Andrei Borissowitsch Schidlowski

Andrei Borissowitsch Schidlowski ( Russian Андрей Борисович Шидловский , English transcription Andrei Borisovich Shidlovsky; born August 13, 1915 in Alatyr ; † March 23, 2007 ) was a Russian mathematician who dealt with number theory.

Schidlowski (right) with Vladimir Sprindschuk , 1974

Schidlowski came from an impoverished noble family. He went to school in Ulyanovsk , then to an apprenticeship school in Moscow and then worked on a lathe. He also directed a wind orchestra. In 1934 he worked as a worker in the construction of the Moscow metro . In 1936/37 he did military service. He attended evening school and studied from 1939 at Lomonosov University . In 1941 he volunteered for the army, worked as a cartographer in the Brjansk region and later commanded an artillery unit on the Far Eastern front. He then studied further at the Lomonossow and received his doctorate (candidate title) in 1954 with Alexander Ossipowitsch Gelfond . He then worked as a lecturer at the Moscow Pedagogical Institute, having already taught at night school and at a technical school during his studies. From 1955 he was on the initiative of Chintschin lecturer at Lomonosov University, where he qualified as a professor in 1959 (Russian doctorate) and became a professor in 1960. After Gelfond's death in 1968 he was head of the chair for number theory there until 2002. He also headed the Faculty of Mathematics and Mechanics for several years, as well as the Communist Party group of the Faculty.

Schidlowski is known for his research on the theory of transcendent numbers . In particular, in 1954 he expanded Siegel's investigations of the so-called E-functions (such as the exponential function and general confluent hypergeometric series), which provide a particularly large number of transcendent or algebraically independent values ​​for rational values ​​of the parameters and algebraic values ​​of the independent variable. In 1954, Schidlowski proved a theorem named after him (also called Siegel-Schidlowski theorem), which is based on the algebraic independence of the E-functions as a solution of systems of homogeneous linear differential equations (whose coefficient functions are rational with values ​​of the coefficients from an algebraic number field) on the algebraic independence of the values ​​of the e-functions for algebraic values ​​of the independent variable. He extended the investigation to solutions of more general linear differential equations. He also quantified the algebraic independence of the solutions in the measures introduced by him.

Yuri Nesterenko is one of his doctoral students . In the West, for example, his work was picked up by Frits Beukers , Woodrow Dale Brownawell and Kurt Mahler .

Web links

• Obituary, PDF file

Individual evidence

1. ↑ if these are not poles of the coefficient functions