Klaus Friedrich Roth ( German: Klaus Friedrich Roth ; October 29, 1925 , Breslau - November 10, 2015 , Inverness ) - British mathematician who worked in the field of number theory , professor. Fields Prize Laureate for 1958.
| Klaus Friedrich Roth | |
|---|---|
| him. Klaus friedrich roth | |
 | |
| Date of Birth | |
| Place of Birth | Breslau , Prussia , German Empire (now Wroclaw , Poland ) |
| Date of death | |
| Place of death | |
| A country |  Great Britain |
| Scientific field | number theory |
| Place of work | University College London Imperial College London |
| Alma mater | Cambridge university |
| Academic degree | Doctor of Philosophy in Mathematics (1950) |
| supervisor | Theodor Estermann |
| Awards and prizes | Fields Medal (1958) Medal de Morgan (1983) Sylvester Medal (1991) |
Content
Biography
Born in Breslau (now it is the city of Wroclaw in Poland ), in a Jewish family who fled to the UK in 1939 [3] . In 1945 he graduated from Peterhouse College of Cambridge University . In 1946, he began working at the University College London under the direction of Theodore Estermann . In 1961, he was appointed professor in the same place. In 1966 he moved to Imperial College London , where he held a professorship until his retirement in 1988. After that, he continued to work there as a visiting professor until 1996.
Scientific Achievements
In 1952, Roth proved that subsets of integers of positive density must contain infinitely many arithmetic progressions of length three. This statement was the first nontrivial case of the more general Szemerédi theorem .
His most famous result, the Thue – Siegel – Roth theorem (often referred to simply as the Roth theorem), was obtained in 1955, when Roth was still a simple teacher at a university college in London. For this evidence, Roth was awarded the prestigious Fields Prize in 1958.
Named after him
- Theorem Thue - Siegel - Rota
Bibliography
- Heini Halberstam, Klaus Friedrich Roth. Sequences . - Clarendon, P., 1966 .-- 290 s.
- IM Vinogradov . The Method of Trigonometrical Sums in the Theory of Numbers / KF Roth, AA Davenport. - Courier Dover Publications , 2004 .-- 192 p. - (Dover Books on Mathematics). - ISBN 0486438783 .
- KF Roth, WWL Chen, WT Gowers, H. Halberstam. Analytic number theory: essays in honor of Klaus Roth . - Cambridge University Press , 2009 .-- 491 p. - ISBN 0521515386 .
Literature
- H. Davenport. The work of KF Roth (English) // Proc. Internat. Congress Math .. - Cambridge University Press , 1958. - P. lvii — lx .
Notes
Links
- JJ O'Connor and EF Robertson. Klaus Friedrich Roth Date of treatment September 21, 2010. Archived May 26, 2012.