Fatemehzahra Janbazi

collaborators

3 papers

math.NT2025

Boundedness of average rank of elliptic curves ordered by the coefficients

Fatemehzahra Janbazi

We study the average rank of elliptic curves $E_{A, B} : y^{2} = x^{3} + A x + B$ over $Q$ , ordered by the height function $h (E_{A, B}) := max (∣ A ∣, ∣ B ∣)$ . Understanding th…

math.NT2025

A unified finiteness theorem for curves

Fatemehzahra Janbazi, Fateme Sajadi

We study the arithmetic of Galois-invariant sets of points on algebraic curves with controlled reduction behavior. Let $C$ be a smooth projective curve with a smooth proper model $…

math.NT2025

Finiteness theorems for some representations of $GL_{3}$

Fatemehzahra Janbazi, Arul Shankar

Let $n \geq 2$ be an integer and let $K$ be a number field with ring of integers $O_{K}$ . We prove that the set of ternary $n$ -ic forms with coefficients in $O_{K}$ …

Boundedness of average rank of elliptic curves ordered by the coefficients

A unified finiteness theorem for curves

Finiteness theorems for some representations of GL3​

Finiteness theorems for some representations of $GL_{3}$