3 papers
math.GM2025
Bayes Meets Riemann Again: Large Prime Discovery and Re-emergence of the Bone of Contention
Durba Bhattacharya, Sucharita Roy, Sourabh Bhattacharya
Prime numbers have fascinated mathematicians since antiquity, with ongoing efforts to uncover both their properties and ever-larger examples. While giant primes rarely aid cryptogr…
math.PR2020
Bayesian Appraisal of Random Series Convergence with Application to Climate Change
Sucharita Roy, Sourabh Bhattacharya
Roy and Bhattacharya (2020) provided Bayesian characterization of infinite series, and their most important application, namely, to the Dirichlet series characterizing the (in)famo…
math.ST2020
Bayesian Characterizations of Properties of Stochastic Processes with Applications
Sucharita Roy, Sourabh Bhattacharya
In this article, we primarily propose a novel Bayesian characterization of stationary and nonstationary stochastic processes. In practice, this theory aims to distinguish between g…