The paper derives asymptotic formulas for prime-coefficient polynomials with squarefree discriminant, with the non-monic maximal-order portion of Theorem 1.1 invalid as stated.
The density of ADE families of curves having squarefree discriminant
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We determine the density of curves having squarefree discriminant in some families of curves that arise from Vinberg representations, showing that the global density is the product of the local densities. We do so using the framework of Thorne and Laga's PhD theses and Bhargava's orbit-counting techniques. This paper generalises a previous result by Bhargava, Shankar and Wang. As an application, we give an asymptotic for the number of reducible orbits of our representations.
citation-role summary
background 1
citation-polarity summary
fields
math.NT 1years
2025 1verdicts
REJECT 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Squarefree discriminants of polynomials with prime coefficients
The paper derives asymptotic formulas for prime-coefficient polynomials with squarefree discriminant, with the non-monic maximal-order portion of Theorem 1.1 invalid as stated.