V. Arul

activity

20182022

most citedComputing Zeta Functions of Cyclic Covers in Large Characteristic

1 citations · 1 across the 6 of their papers we have counts for

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math.AG2019

Torsion points on Fermat quotients of the form $y^{n} = x^{d} + 1$

Vishal Arul

We classify all geometric torsion points on the Fermat quotients $y^{n} = x^{d} + 1$ where $n, d \geq 2$ are coprime. In addition, we classify all geometric torsion points on the generi…

math.NT2019

On the $ℓ$ -adic valuation of certain Jacobi sums

Vishal Arul

Fix distinct primes $ℓ$ and $f$ , a finite field $F_{q}$ such that $q \equiv 1 (mod ℓ f)$ , and a character $χ : F_{q}^{\times} \to C^{\times}$ of ex…

Torsion points on Fermat quotients of the form yn=xd+1

On the ℓ-adic valuation of certain Jacobi sums

Torsion points on Fermat quotients of the form $y^{n} = x^{d} + 1$

On the $ℓ$ -adic valuation of certain Jacobi sums