Ishan Panpaliya

collaborators

5 papers

math.NT2025

Counting $C_{2} ≀ S_{4}$ fields with a power saving error term

Sambhabi Bose, Kevin J. McGown, Ishan Panpaliya +2

Let $N_{d} (G, X)$ denote the number of degree $d$ extensions of $Q$ with Galois closure $G$ and $∣ I^_{K} ∣ \leq X$ . Malle's conjecture predicts an asymptotic of the form $N_d(G,X…

math.NT2025

The average genus number for pure fields of prime degree

Sambhabi Bose, Kevin J. McGown, Ishan Panpaliya +2

Let $ℓ \geq 5$ be prime. Let $F_{ℓ}$ be the collection of (isomorphism classes of) pure number fields $Q (ℓ a)$ of degree $ℓ$ , ordered by the abs…

math.AC2025

On GL-domains and the ascent of the IDF property

Victor Gonzalez, Ishan Panpaliya

Following the terminology introduced by Arnold and Sheldon back in 1975, we say that an integral domain $D$ is a GL-domain if the product of any two primitive polynomials over $D$ …

math.AC2025

On the ascent of almost and quasi-atomicity to monoid semidomains

Victor Gonzalez, Felix Gotti, Ishan Panpaliya

A commutative monoid is atomic if every non-invertible element factors into irreducibles (also called atoms), while an integral (semi)domain is atomic if its multiplicative monoid…

math.AC2024

On the atomicity of one-dimensional monoid algebras