The diophantine equation X3 + Y3 = DZ3 and the conjectures of Birch and Swinnerton-Dyer.
From MaRDI portal
Publication:5625259
DOI10.1515/crll.1968.231.121zbMath0221.10023OpenAlexW1522227596WikidataQ122901726 ScholiaQ122901726MaRDI QIDQ5625259
Publication date: 1968
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002183072
Complex multiplication and moduli of abelian varieties (11G15) Cubic and quartic Diophantine equations (11D25)
Related Items
On central L-values and the growth of the 3-part of the Tate–Shafarevich group, Three-descent and the Birch and Swinnerton-Dyer conjecture, Unnamed Item, Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication, Second isogeny descents and the Birch and Swinnerton-Dyer conjectural formula, Unnamed Item, On the computation of the cycle class map for nullhomologous cycles over the algebraic closure of a finite field, On thep-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves with complex multiplication by the ring of integers of, A classical family of elliptic curves having rank one and the \(2\)-primary part of their Tate-Shafarevich group non-trivial, The arithmetic of elliptic curves, Root numbers for the Jacobian varieties of Fermat curves, Some elliptic curves arising from the Leech lattice, The Conjecture of Birch and Swinnerton-Dyer, Some computational aspects of, and the use of computers in, algebraic number theory, Tamagawa number divisibility of central \(L\)-values of twists of the Fermat elliptic curve, On the $8$ case of the Sylvester conjecture, On the passage from local to global in number theory, Some functions related to the derivatives of the L-series of an elliptic curve at s=1, Unnamed Item