2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.NT2022★ 2 cited
On Ternary Diophantine Equations of Signature over Number Fields
Erman Isik, Yasemin Kara, Ekin Ozman
In this paper, we prove results about solutions of the Diophantine equation over various number fields using the modular method. Firstly, by assuming some standard mo…
math.NT2014
Bad reduction of genus curves with complex multiplication
Irene Bouw, Jenny Cooley, Kristin Lauter +4
Let be a smooth, absolutely irreducible genus- curve over a number field . Suppose that the Jacobian of has complex multiplication by a sextic CM-field . Suppose f…
math.NT2012
On Polyquadratic Twists of X_0(N)
Ekin Ozman
In this paper, we study the local points of the twist of X_0(N) by a polyquadratic field and give an algorithm to produce such curves which has local points everywhere. Then we inv…