3 papers
math.NT2026
On the Distribution of Points of Valuation 1 for a Polynomial in Two Variables
Krishnan Rajkumar, Shubham
We investigate the variation in the total number of points in a random square in where the -adic valuation of a given polynomial in two variables is p…
cs.DC2024
Leveraging Hardware Performance Counters for Predicting Workload Interference in Vector Supercomputers
Shubham, Keichi Takahashi, Hiroyuki Takizawa
In the rapidly evolving domain of high-performance computing (HPC), heterogeneous architectures such as the SX-Aurora TSUBASA (SX-AT) system architecture, which integrate diverse p…
math.GM2024
The p-adic valuation of the general degree-2 and degree-3 polynomial in 2 variables
Shubham
This paper investigates the p-adic valuation trees of degree-2 and degree-3 polynomials in two variables over any prime p, building upon prior research outlined in [14].