Sajad Salami

activity

20242026

collaborators

10 papers

math.AG2026

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.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 $I^¸$ -Congruent Numbers Over Real Number Fields

Sajad Salami, Arman Shamsi Zargar

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

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

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…

Orbit counts and twist zeta functions of weighted projective stacks 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 I^¸-Congruent Numbers Over Real Number Fields

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

Generators and splitting fields of certain elliptic K3 surfaces

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

On Properly $I^¸$ -Congruent Numbers Over Real Number Fields

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