Elisabeth Lutz
Élisabeth Lutz (born May 14, 1914 in Thann ; † July 31, 2008 in Grenoble ) was a French mathematician who dealt with number theory.
Life
Lutz attended school in Colmar and studied with André Weil at the University of Strasbourg from 1934 to 1938 . She is known for the theorem by Lutz and Nagell (also named after Trygve Nagell in 1935 ) from the number theory of elliptic curves, contained in their thesis written by Weil (which corresponded to a later so-called Thèse de troisieme cycle in France, still below a full dissertation ). The theorem makes statements about the torsion points (points of finite order with respect to the law of addition of rational points on elliptic curves): they have integer coordinates (x, y) and either y = 0 (the point then has order 2) or y divides the discriminant D of the elliptic curve. As a final result, the torsion points are effectively computable (the question of the effective computability of the group of all rational points of an elliptic curve over the rational numbers is open).
In his memoirs, Weil is one of the only two students he was able to introduce to research during his time in Strasbourg (the other was Jacques Feldbau ). After studying in Strasbourg, she was a teacher in Poligny , Sarrebourg and Besançon . After the Second World War, Lutz received his doctorate from Claude Chabauty in 1951 (Thèse d'État), also with a thesis on number theory (linear p-adic Diophantine approximations, published 1955). She was a professor at the Faculté des Sciences of the University of Grenoble : from 1953 Maître de conférences (lecturer), from 1957 Professeur sans chaire and from 1960 professor (Professeur titulaire à titre personnel). In 1979 she retired and then dealt in particular with the history of the Dauphiné .
She worked for the Annales de l'Institut Fourier in Grenoble.
Fonts
- Sur l'équation y ^ 2 = x ^ 3 - Ax - B dans les corps p-adiques , J. Reine Angew. Math. Vol. 177, 1937, pp. 237-247
- Sur les Approximations diophantiénnes lineaires p-adiques , Publ. Inst. Math. Strasbourg, No 12, Actualites scientifique et industrielles No. 1224, Hermann 1955
Individual evidence
- ↑ Anthony W. Knapp : Andre Weil. A prologue. In: Notices of the American Mathematical Society. April 1999, p. 437. Knapp was able to use information from Lutz himself for his Weil article.
- ↑ Thesis d'Etat
- ↑ See Birch and Swinnerton-Dyer conjecture
- ↑ Weil: The Apprenticeship of a Mathematician. Birkhäuser, 1991, p. 111. Weil also discusses Lutz's work in his Collected Papers (Volume 1, p. 534).
- ^ Turkevich, Turkevich: Prominent scientist of central europe. 1968
| personal data | |
|---|---|
| SURNAME | Lutz, Elisabeth |
| BRIEF DESCRIPTION | French mathematician |
| DATE OF BIRTH | May 14, 1914 |
| PLACE OF BIRTH | Thann |
| DATE OF DEATH | July 31, 2008 |
| Place of death | Grenoble |