Leonard James Rogers
Leonard James Rogers , called James, (born March 30, 1862 in Oxford , † September 12, 1933 there ) was a British mathematician .
His father Thorold Rogers was a professor of political economy at Oxford. Since he became seriously ill in his youth, he was privately tutored, among others by the mathematics tutor at J. Griffith University. From 1880 he studied at Balliol College in Oxford, where he excelled not only in mathematics, but also in classical languages and music ( bachelor's degree in music 1884). Rogers was professor at Yorkshire College (later the University of Leeds ) from 1888 to 1919 until illness forced him to give up the position (he was paralyzed for months in hospital). He then lived in Oxford, where he taught and performed as a musician.
Despite his achievements, Rogers received little recognition during his lifetime and is best known for discovering the Rogers-Ramanujan identities . He discovered and proved them in 1894, which went largely unnoticed until they were rediscovered by S. Ramanujan in 1913. Ramanujan himself had no proof, none of the mathematicians he asked knew one, but they were published without proof in MacMahon's Combinatorial Identities , and Ramanujan in 1917, looking through old volumes of the Proceedings of the London Mathematical Society, finally found the proof of Rogers. In 1917 Issai Schur also independently found the identities and published two pieces of evidence. They found applications in mathematical physics , for example in 1981 by Rodney Baxter in the hard hexagon model of statistical mechanics .
The Rogers polynomials and Rogers-Szegö polynomials that he introduced in connection with his work on the Rogers-Ramanujan identities are named after him, as well as Rogers-Ramanujan continued fractions and Rogers transformations. He also found the Hölder inequality in 1888 before Otto Hölder (1889) . In his publication, Holder himself referred to the previous publication by Rogers.
The Rogers dilogarithm (also known as Rogers L-function ), which he introduced in 1907, was named after him .
Rogers was interested in many things, including languages (linguistics) and especially music (he played the piano ), but also the creation of rock gardens and ice skating.
In 1924 he became a Fellow of the Royal Society .
literature
- AL Dixon: Leonard James Rogers 1862-1933. In: Obituary Notices of Fellows of the Royal Society. Volume I, 1932/35, pp. 299-301, doi: 10.1098 / rsbm.1934.0013 , JSTOR 768830 .
- AL Dixon: Leonard James Rogers. In: Journal of the London Mathematical Society. Volume 9, 1934, pp. 237-240, doi: 10.1112 / jlms / s1-9.3.237 .
Web links
- John J. O'Connor, Edmund F. Robertson : Leonard James Rogers. In: MacTutor History of Mathematics archive .
Individual evidence
- ^ Rogers: On the Expansion of some Infinite Products. 3 parts, In: Proceedings of the London Mathematical Society. Volume 24, 1893, pp. 337-352, doi: 10.1112 / plms / s1-24.1.337 , Volume 25, 1894, pp. 318-343, doi: 10.1112 / plms / s1-25.1.318 , Volume 26, 1895 , Pp. 15-32, doi: 10.1112 / plms / s1-26.1.15
- ↑ Hardy: Ramanujan. 1940
- ^ Johann Cigler: Fibonacci numbers, grid point paths and the Rogers-Ramanujan identities. In: Mathematical semester reports. Volume 52, 2005, pp. 97-125
- ^ Rogers: An extension of a certain theorem in inequalities. In: Messenger of Mathematics. Volume 17, 1888, pp. 145–150 ( digitized version )
- ^ LJ Rogers: On Function Sum Theorems Connected with the Series . In: Proceedings of the London Mathematical Society. Volume 4, 1907, pp. 169-189, doi: 10.1112 / plms / s2-4.1.169 .
| personal data | |
|---|---|
| SURNAME | Rogers, Leonard James |
| ALTERNATIVE NAMES | Rogers, James |
| BRIEF DESCRIPTION | British mathematician |
| DATE OF BIRTH | March 30, 1862 |
| PLACE OF BIRTH | Oxford |
| DATE OF DEATH | September 12, 1933 |
| Place of death | Oxford |