2 papers
math.NT2026
There are consecutive cubic fields with large class numbers, when ordered by discriminant
Vitezslav Kala, Om Prakash
We consider cubic number fields ordered by their discriminants, and show that there exist arbitrarily long sequences that contain only fields with class numbers greater than a give…
math.CO2025
On The Roots of Independence Polynomial: Quantifying The Gap
Om Prakash, Vikram Sharma
The independence polynomial of a graph is the generating polynomial corresponding to its independent sets of different sizes. More formally, if denotes the number of i…