Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

Rank zero elliptic curves induced by rational Diophantine triples (CROSBI ID 279828)

Prilog u časopisu | izvorni znanstveni rad

Dujella, Andrej ; Mikić, Miljen Rank zero elliptic curves induced by rational Diophantine triples // Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti, 24 (2020), 29-37. doi: 10.21857/m8vqrtq4j9

Podaci o odgovornosti

Dujella, Andrej ; Mikić, Miljen

engleski

Rank zero elliptic curves induced by rational Diophantine triples

Rational Diophantine triples, i.e. rationals a, b, c with the property that ab+1, ac+1, bc+1 are perfect squares, are often used in construction of elliptic curves with high rank. In this paper, we consider the opposite problem and ask how small can be the rank of elliptic curves induced by rational Diophantine triples. It is easy to find rational Diophantine triples with elements with mixed signs which induce elliptic curves with rank 0. However, the problem of finding such examples of rational Diophantine triples with positive elements is much more challenging, and we will provide the first such known example.

Elliptic curves, Diophantine triples, rank, torsion group

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

24

2020.

29-37

objavljeno

1845-4100

1849-2215

10.21857/m8vqrtq4j9

Povezanost rada

Matematika

Poveznice
Indeksiranost