Rezwan Hoque

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math.NT2025

Degeneracy and Sato-Tate groups of $y^{2} = x^{p^{2}} - 1$

Justin Chen, Heidi Goodson, Rezwan Hoque +1

We say that an abelian variety is degenerate if its Hodge ring is not generated by divisor classes. Degeneracy leads to some interesting challenges when computing Sato-Tate groups,…

math.NT2025

Sato-Tate Groups and Distributions of $y^{ℓ} = x (x^{ℓ} - 1)$

Heidi Goodson, Rezwan Hoque

Let $C_{ℓ} / Q$ denote the curve with affine model $y^{ℓ} = x (x^{ℓ} - 1)$ , where $ℓ \geq 3$ is prime. In this paper we study the limiting distributions of the normalized $L$ …

Degeneracy and Sato-Tate groups of y2=xp2−1

Sato-Tate Groups and Distributions of yℓ=x(xℓ−1)

Degeneracy and Sato-Tate groups of $y^{2} = x^{p^{2}} - 1$

Sato-Tate Groups and Distributions of $y^{ℓ} = x (x^{ℓ} - 1)$