Rank of elliptic curves and exponential sums

DOI10.1007/BF01404006zbMath0796.14022OpenAlexW1519630552MaRDI QIDQ1313308

Jacek Pomykała, Étienne Fouvry

Publication date: 6 February 1994

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178619

zbMATH Keywords

Birch and Swinnerton-Dyer conjectureselliptic curves with high rankWeil-Taniyama conjectures

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items (4)

Average rank of families of elliptic curves and Sato-Tate laws ⋮ Some Results in the Theory of Low-Lying Zeros of Families of L-Functions ⋮ The Sato-Tate distribution in thin parametric families of elliptic curves ⋮ Étude expérimentale du rang de families de courbeselliptiques sur Q

Cites Work

• Exponential sums and Newton polyhedra: cohomology and estimates
• Groupes de Selmer et corps cubiques. (Selmer group and cubic fields)
• The average rank of elliptic curves. I. (With an appendix by Oisín McGuinness: The explicit formula for elliptic curves over function fields)
• On elliptic modular surfaces
• On the density of discriminants of cubic fields. II
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