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- Élisabeth_Lutz abstract "Élisabeth Lutz (May 14, 1914 – July 31, 2008) was a French mathematician.She was a student of André Weil at the Université de Strasbourg, from 1934 to 1938. In 1935 she began working on aspects of elliptic curves over p-adic fields.An elliptic curve over Q can be put in the form y2 = x3 − Ax − B with A and B integers. Recall that the abelian group of rational points on an elliptic curve over Q is finitely generated. In her published paper on the subject, Lutz makes two observations as a consequence of her analysis:first, that any Q-rational point (x; y) of finite order on such a curve has integer coordinates, and,second, that either y equals 0 or y2 divides 4A3 - 27B2.This result is now called the Nagell–Lutz theorem. It implies that the torsion subgroup of Q-rational points is effectively computable. It remains unknown whether the whole group of Q-rational points is effectively computable.Weil describes Lutz's work, and its relationship to his own research, in his Collected Papers, vol. I, pp. 538–539. Perhaps as evidence of Weil's high standards, Lutz was granted only the lower-level French thesis for this work. She wrote a doctoral thesis (thèse d’état) after World War II on a different p-adic topic with a different advisor.".
- Élisabeth_Lutz birthDate "1914-05-14".
- Élisabeth_Lutz birthYear "1914".
- Élisabeth_Lutz deathDate "2008-07-31".
- Élisabeth_Lutz deathYear "2008".
- Élisabeth_Lutz wikiPageExternalLink mem-weil-prologue.pdf.
- Élisabeth_Lutz wikiPageID "6738820".
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- Élisabeth_Lutz wikiPageRevisionID "660113849".
- Élisabeth_Lutz wikiPageWikiLink Abelian_group.
- Élisabeth_Lutz wikiPageWikiLink André_Weil.
- Élisabeth_Lutz wikiPageWikiLink Category:1914_births.
- Élisabeth_Lutz wikiPageWikiLink Category:2008_deaths.
- Élisabeth_Lutz wikiPageWikiLink Category:20th-century_French_mathematicians.
- Élisabeth_Lutz wikiPageWikiLink Category:21st-century_French_mathematicians.
- Élisabeth_Lutz wikiPageWikiLink Category:Number_theorists.
- Élisabeth_Lutz wikiPageWikiLink Category:Women_mathematicians.
- Élisabeth_Lutz wikiPageWikiLink Crelles_Journal.
- Élisabeth_Lutz wikiPageWikiLink Elliptic_curve.
- Élisabeth_Lutz wikiPageWikiLink French_people.
- Élisabeth_Lutz wikiPageWikiLink J._Reine_Angew._Math..
- Élisabeth_Lutz wikiPageWikiLink Mathematician.
- Élisabeth_Lutz wikiPageWikiLink Nagell–Lutz_theorem.
- Élisabeth_Lutz wikiPageWikiLink P-adic_field.
- Élisabeth_Lutz wikiPageWikiLink P-adic_number.
- Élisabeth_Lutz wikiPageWikiLink Rational_point.
- Élisabeth_Lutz wikiPageWikiLink Thesis.
- Élisabeth_Lutz wikiPageWikiLink University_of_Strasbourg.
- Élisabeth_Lutz wikiPageWikiLink Université_de_Strasbourg.
- Élisabeth_Lutz wikiPageWikiLink World_War_II.
- Élisabeth_Lutz wikiPageWikiLinkText "Lutz, Élisabeth".
- Élisabeth_Lutz wikiPageWikiLinkText "Élisabeth Lutz".
- Élisabeth_Lutz dateOfBirth "1914-05-14".
- Élisabeth_Lutz dateOfDeath "2008-07-31".
- Élisabeth_Lutz hasPhotoCollection Élisabeth_Lutz.
- Élisabeth_Lutz name "Lutz, Elizabeth".
- Élisabeth_Lutz shortDescription "French mathematician".
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- Élisabeth_Lutz description "French mathematician".
- Élisabeth_Lutz description "French mathematician".
- Élisabeth_Lutz subject Category:1914_births.
- Élisabeth_Lutz subject Category:2008_deaths.
- Élisabeth_Lutz subject Category:20th-century_French_mathematicians.
- Élisabeth_Lutz subject Category:21st-century_French_mathematicians.
- Élisabeth_Lutz subject Category:Number_theorists.
- Élisabeth_Lutz subject Category:Women_mathematicians.
- Élisabeth_Lutz type Agent.
- Élisabeth_Lutz type Person.
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- Élisabeth_Lutz type Q215627.
- Élisabeth_Lutz type Q5.
- Élisabeth_Lutz type Person.
- Élisabeth_Lutz comment "Élisabeth Lutz (May 14, 1914 – July 31, 2008) was a French mathematician.She was a student of André Weil at the Université de Strasbourg, from 1934 to 1938. In 1935 she began working on aspects of elliptic curves over p-adic fields.An elliptic curve over Q can be put in the form y2 = x3 − Ax − B with A and B integers. Recall that the abelian group of rational points on an elliptic curve over Q is finitely generated.".
- Élisabeth_Lutz label "Élisabeth Lutz".
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- Élisabeth_Lutz givenName "Elizabeth".
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- Élisabeth_Lutz name "Elizabeth Lutz".
- Élisabeth_Lutz name "Lutz, Elizabeth".
- Élisabeth_Lutz surname "Lutz".