7 papers
Selberg's Central Limit Theorem for Dirichlet -functions of -aspect
Madhuparna Das
We give a simple proof of Selberg's central limit theorem for Dirichlet -functions for -aspect by following the method established by RadiwiÅÅ\space and Soundararajan.
Selberg's Central Limit Theorem for -functions of level aspect, II
Madhuparna Das
In this paper, we have proved Selberg's Central Limit Theorem for -functions associated with the Hecke-Maass cusp form . Moreover, we have proved the independence of…
Selberg's Central Limit Theorem for automorphic -functions in the -aspect
Madhuparna Das
We present a proof of Selberg's Central Limit Theorem for automorphic -functions of degree 2 using RadziwiÅÅ\space and Soundararajan's method. Additionally, we prove the indep…
A Note on The Gaussian Moat Problem
Madhuparna Das
The Gaussian moat problem asks whether it is possible to find an infinite sequence of distinct Gaussian prime numbers such that the difference between consecutive numbers in the se…
On the Extension of the Gaussian Moat Problem
Madhuparna Das
In this paper, we have developed an algorithm for the prime searching in . This problem was proposed by M. Das [Arxiv,2019]. This paper is an extension of her work. A…
Generalization of Bertrand's Postulate for Gaussian Primes
Madhuparna Das
Bertrand's Postulate states about the prime distribution for the real numbers. The generalization of Bertrand's Postulate was proved by Das et al. [Arxiv 2018]. In this paper, we h…