Hrishabh Mishra

collaborators

3 papers

math.NT2024

Integral Hasse principle for Markoff type cubic surfaces

Hrishabh Mishra

We establish new upper bounds on the number of failures of the integral Hasse principle within the family of Markoff type cubic surfaces $x^{2} + y^{2} + z^{2} - x y z = a$ with $∣ a ∣ \leq A$ as…

math.NT2024

On Malle's conjecture for the product of symmetric and nilpotent groups

Hrishabh Mishra, Anwesh Ray

Let $G$ be a finite nilpotent group and $n \in {3, 4, 5}$ . Consider $S_{n} \times G$ as a subgroup of $S_{n} \times S_{∣ G ∣} \subset S_{n ∣ G ∣}$ , where $G$ embeds into the second factor of $…

math.NT2023

Upper bounds for the number of number fields with prescribed Galois group

Hrishabh Mishra, Anwesh Ray

Let $n$ be a positive integer and $G$ be a transitive permutation subgroup of $S_{n}$ . Given a number field $K$ with $[K : Q] = n$ , we let $K$ be its Galois closure…