Sajad Salami

activity

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

collaborators

23 papers

math.NT2026

Roth's theorem on weighted projective lines

Sajad Salami

Let $P_{q}^{1}$ be the weighted projective line with coprime weights $q = (q_{0}, q_{1})$ and $L = q_{0} q_{1}$ . The weighted Veronese map $Φ\colon {\mathbb P}^1_{\…

math.NT2026

Stacky Heights, Entropy, and Zeta Functions of Weighted Hypersurfaces over Finite Fields

S. Salami, T. Shaska

Let $X\subset \mathbb P^n_{\mathbf w}$ be a weighted hypersurface over $\mathbb F_q$, with associated stack $\mathfrak X$. For $\mathbf x\in X(\mathbb F_{q^r})$, let \(g_{\…

math.NT2026

Gaussian Behavior and Geometric Gaps in Decompositions from Recurrences with Zero Coefficients

Sajad Salami

Zeckendorf's theorem establishes a unique representation for positive integers as sums of non-consecutive Fibonacci numbers. This result has been generalized to Positive Linear Rec…

math.NT2026

The splitting field and generators of the elliptic surface $Y^{2} = X^{3} + t^{360} + 1$

Sajad Salami

The splitting field of an elliptic surface $E / Q (t)$ is the smallest finite extension $K \subset C$ such that all $C (t)$ -rational poin…

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 \(|\…

math.AG2023★ 2 cited

Vojta's conjecture on weighted projective varieties

Sajad Salami, Tony Shaska

We formulate Vojta's conjecture for smooth weighted projective varieties, weighted multiplier ideal sheaves, and weighted log pairs and prove that all three versions of the conject…

math.NT2022

Generators and splitting fields of certain elliptic K3 surfaces

Sajad Salami, Arman Shamsi Zargar

Let $k \subset C$ be a number field and $E$ be an elliptic curve defined over $k (t)$ , the rational function field of the projective line $P_{k}^{1}$ , is…

math.NT2022

Local and Global Heights on Weighted Projective Varieties

Sajad Salami, Tony Shaska

We investigate local and global weighted heights a-la Weil for weighted projective spaces via Cartier and Weil divisors and extend the definition of weighted heights on weighted pr…

math.AG2021

Twists of Albanese varieties over function fields with large ranks

Abolfazl Mohajer, Sajad Salami

In this paper we construct abelian varieties of large Mordell-Weil rank over function fields. We achieve this by using a generalization of the notion of Prym variety to higher dime…

math.NT2020

The $\thera$-congruent numbers elliptic curves via a Fermat-type theorem

Sajad Salami, Arman Shamsi Zargar

A positive integer $N$ is called a $θ$ -congruent number if there is a $\ta$-triangle $(a, b, c)$ with rational sides for which the angle between $a$ and $b$ is equal to $θ$ and its a…

math.NT2020

Rational $θ$ -parallelogram envelopes via $θ$ -congruent elliptic curves

Sajad Salami, Arman Shamsi Zargar

We introduce a new generalization of $θ$ -congruent numbers by defining the notion of rational $θ$ -parallelogram envelope for a positive integer $n$ , where $θ \in (0, π)$ is an angle…

math.CO2019

On special matrices related to Cauchy and Toeplitz matrices

Sajad Salami

In this paper, we are going to calculate the determinant of a certain type of square matrices, which are related to the well-known Cauchy and Toeplitz matrices. Then, we will use t…

math.AG2019

A correction to the paper "On Curves with Split Jacobian"

Sajad Salami

In [5], without giving a detailed proof, Yamauchi provided a formula to calculate the genus of a certain family of smooth complete intersection algebraic curves. That formula is us…

math.AG2019

Twists of the Albanese varieties of cyclic multiple planes with large ranks over higher dimension function fields

Sajad Salami

In [17], we proved a structure theorem on the Mordell-Weil group of abelian varieties over function fields that arise as the twists of abelian varieties by the cyclic covers of pro…

math.NT2017

The rational points on certain Abelian varieties over function fields

Sajad Salami

In this paper, we consider Abelian varieties over function fields that arise as twists of Abelian varieties by cyclic covers of irreducible quasi-projective varieties. Then, in ter…

math.NT2017

On the powerful values of polynomials over number fields

Sajad Salami

Let $B = {b_{i}}_{i = 1}^{\infty}$ be a fixed sequence of pairwise distinct elements of a number field $k$ . Given the integers $2 \leq s \leq r$ , assuming a quantitative versi…

math.NT2014

On $θ$ -congruent numbers on real quadratic number fields

Ali S. Janfada, Sajad Salami

Let $K = Q (m)$ be a real quadratic number field, where $m > 1$ is a squarefree integer. Suppose that $0 < θ < π$ has rational cosine, say $cos (θ) = s / r$ with…

math.NT2011★ 1 cited

On the high rank $π /3$ and $2 π /3$ -congruent number elliptic curves

Ali S. Janfada, Sajad Salami, andrej Dujella +1

Consider the elliptic curves given by $E_{n, θ} : y^{2} = x^{3} + 2 s n x^{2} - (r^{2} - s^{2}) n^{2} x$ where $0 < θ < π$ , $cos (θ) = s / r$ is rational with $0 \leq ∣ s ∣ < r$ and $g cd (r, s) = 1$ . These e…

Roth's theorem on weighted projective lines

Stacky Heights, Entropy, and Zeta Functions of Weighted Hypersurfaces over Finite Fields

Gaussian Behavior and Geometric Gaps in Decompositions from Recurrences with Zero Coefficients

The splitting field and generators of the elliptic surface Y2=X3+t360+1

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

Vojta's conjecture on weighted projective varieties

Generators and splitting fields of certain elliptic K3 surfaces

Local and Global Heights on Weighted Projective Varieties

Twists of Albanese varieties over function fields with large ranks

The $\thera$-congruent numbers elliptic curves via a Fermat-type theorem

Rational θ-parallelogram envelopes via θ-congruent elliptic curves

On special matrices related to Cauchy and Toeplitz matrices

A correction to the paper "On Curves with Split Jacobian"

Twists of the Albanese varieties of cyclic multiple planes with large ranks over higher dimension function fields

The rational points on certain Abelian varieties over function fields

On the powerful values of polynomials over number fields

On θ-congruent numbers on real quadratic number fields

On the high rank π/3 and 2π/3-congruent number elliptic curves

The splitting field and generators of the elliptic surface $Y^{2} = X^{3} + t^{360} + 1$

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 $y^{s} = a x^{r} + b$

Rational $θ$ -parallelogram envelopes via $θ$ -congruent elliptic curves

On $θ$ -congruent numbers on real quadratic number fields

On the high rank $π /3$ and $2 π /3$ -congruent number elliptic curves