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math.NT2026
Roth's theorem on weighted projective lines
Sajad Salami
Let be the weighted projective line with coprime weights and . 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
Sajad Salami
The splitting field of an elliptic surface is the smallest finite extension such that all -rational poin…