Vladimir Gennadjewitsch Sprindschuk

Sprindschuk (left) with Andrei Schidlowski , 1974

Wladimir Gennadjewitsch Sprindschuk ( Russian Владимир Геннадьевич Спринджук , English transcription Vladimir Gennadievich Sprindzuk ; born July 22, 1936 in Minsk ; † July 26, 1987 ) was a Soviet number theorist .

Sprindschuk studied from 1954 at the Belarusian State University and from 1959 at the University of Vilnius with Jonas Kubilius . In 1963 he received his doctorate ( Metric theorems about Diophantine approximations by algebraic numbers of limited degrees ) and in 1965 at the State University of Leningrad habilitated (Russian doctoral degree, with the thesis The Mahler problem in the metric theory of numbers ). In 1969 he became a professor and head of the number theory department at the Mathematical Institute of the Belarusian Academy of Sciences in Minsk and gave lectures at the Belarusian State University in Minsk. Among other things, he was visiting professor at the University of Paris , at the Polish and Slovak Academy of Sciences .

Sprindschuk dealt with Diophantine approximations , Diophantine equations (i.e. solutions of polynomials over the whole numbers) and transcendent numbers . As a student he published his first work, in which he solved a problem for Chintschin , with whom he also corresponded about it. Another crucial early influence was the Leningrad number theorist Yuri Vladimirovich Linnik , with whom he completed his habilitation. Sprindschuk's work from the mid-1960s founded the metric theory of Diophantine approximations with the work of Wolfgang Schmidt at the same time . In 1965 he proved a conjecture by Mahler that almost all real numbers are S-numbers (according to Mahler's definition) of type 1. Mahler had already proven that almost all real numbers are S numbers, which Sprindschuk tightened considerably.

He was a corresponding member since 1969 and a member of the Belarusian Academy of Sciences since 1986. From 1970 he was co-editor of Acta Arithmetica . In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( New applications of analytic and p-adic methods in diophantine approximations ).

Fonts

• Mahler's problem in metric number theory. American Mathematical Society 1969 (first in Russian, Minsk 1967)
• Metric theory of Diophantine approximations. Winston and Sons, Washington DC 1979 (first in Russian with Nauka, Moscow 1977)
• Classical Diophantine Equations. Springer, Lecture Notes in Mathematics Volume 1559, 1993 (Russian Moscow 1982)

Web links

• Obituary at Numbertheory.org, English
• Obituary at the Belarusian Academy of Sciences, Russian
• List of publications