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math.NT2022
An octic diophantine equation and related families of elliptic curves
Ajai Choudhry, Arman Shamsi Zargar
We obtain two parametric solutions of the diophantine equation where is the octic form defined by $ϕ(x_1, x_2, x_3)=x_1^8+ x_…
math.NT2022
Generators and splitting fields of certain elliptic K3 surfaces
Sajad Salami, Arman Shamsi Zargar
Let be a number field and be an elliptic curve defined over , the rational function field of the projective line , is…