3 citations · 7 across the 11 of their papers we have counts for
11 papers
Partitions into semiprimes
Madhuparna Das, Nicolas Robles, Alexandru Zaharescu +1
Let denote the set of primes and be a set with arbitrary weights attached to its elements. Set to be th…
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 Radiwiłł\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 Radziwiłł\space and Soundararajan's method. Additionally, we prove the indepen…
On the Rudnick and Sarnak's Zeros of principal L-functions and Random Matrix Theory
Madhuparna Das
In this article, we have surveyed the result of Zeév Rudnick and Peter Sarnak on the Zeros of principal L-function and Random Matrix Theory
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…
Walking through the Gaussian Primes
Madhuparna Das
The Gaussian Moat problem asks whether one can walk to infinity in the Gaussian integers using the Gaussian primes as stepping stones and taking bounded length steps or not. In thi…
Analysis of the Game "2048" and its Generalization in Higher Dimensions
Madhuparna Das, Goutam Paul
We theoretically analyze the popular mobile app game `2048' for the first time in -dimensional space. We show that one can reach the maximum value and $2^{\left({…
Revisiting Generalized Bertand's Postulate and Prime Gaps
Madhuparna Das, Goutam Paul
It is a well-known fact that for any natural number , there always exists a prime in . Our aim in this note is to generalize this result to . A lower as well a…