Sajad Salami

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20112026

most citedRational Points and Zeta Functions of Humbert Surfaces with Square Discriminant

3 citations · 6 across the 19 of their papers we have counts for

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6 papers · 1 filter

math.NT2025

On Properly $θ$ -Congruent Numbers Over Real Number Fields

Sajad Salami, Arman Shamsi Zargar

The notion of $θ$ -congruent numbers generalizes the classical congruent number problem. Recall that a positive integer $n$ is $θ$ -congruent if it is the area of a rational triangle…

math.NT2025

The splitting fields and Generators of Shioda's elliptic surfaces $y^{2} = x^{3} + t^{m} + 1$ (I)

Sajad Salami, Arman Shamsi Zargar

The splitting field of an elliptic surface $E$ defined over $Q (t)$ is the smallest subfield $K$ of $C$ such that ${\mathcal E}({\mathbb C}(t))\c…

math.NT2025

Rank of Jacobian Varieties of Curves $y^{s} = x (a x^{r} + b)$

Sajad Salami

Let $k$ be a number field. We investigate the Mordell-Weil ranks of Jacobian varieties $J_{C}$ associated with algebraic curves $C$ of genus $g \geq 1$ defined by affine equations of…

math.AG2025

Orbit counts and twist zeta functions of weighted projective stacks over finite fields

Sajad Salami, Tanush Shaska

Let $F_{q}$ be a finite field and $w = (w_{0}, \dots, w_{n})$ a vector of positive integer weights. Several finite-field counts attached to the weighted projective space $…

math.NT2025

On the Rank of Jacobian Varieties of the Curves $y^{s} = a x^{r} + b$

Sajad Salami

We study the family of algebraic curves of genus $\geq 1$ defined by the affine equations $y^{s} = a x^{r} + b$ over a number field $k$ , where $r \geq 2$ and $s \geq 2$ are fixed integers. A…

math.NT2025★ 3 cited

Rational Points and Zeta Functions of Humbert Surfaces with Square Discriminant

Elira Shaska, Jorge Mello, Sajad Salami +1

This paper examines the arithmetic of the loci $\cL_n$, parameterizing genus 2 curves with $(n, n)$-split Jacobians over finite fields $\F_q$. We compute rational points \(|\…

On Properly θ-Congruent Numbers Over Real Number Fields

The splitting fields and Generators of Shioda's elliptic surfaces y2=x3+tm+1 (I)

Rank of Jacobian Varieties of Curves ys=x(axr+b)

Orbit counts and twist zeta functions of weighted projective stacks over finite fields

On the Rank of Jacobian Varieties of the Curves ys=axr+b

Rational Points and Zeta Functions of Humbert Surfaces with Square Discriminant

On Properly $θ$ -Congruent Numbers Over Real Number Fields

The splitting fields and Generators of Shioda's elliptic surfaces $y^{2} = x^{3} + t^{m} + 1$ (I)

Rank of Jacobian Varieties of Curves $y^{s} = x (a x^{r} + b)$

On the Rank of Jacobian Varieties of the Curves $y^{s} = a x^{r} + b$