most citedOn the proof of the Prime Number Theorem using Order Estimates for the Chebyshev Theta Function

9 citations · 14 across the 6 of their papers we have counts for

collaborators

6 papers

math.HO2023

Meromorphic Continuation Of Global Zeta Function For Number Fields

Subham De

In the paper, we shall establish the existence of a meromorphic continuation of the Global Zeta Function of a Global Number Field and also deduce the functional equati…

math.HO2023★ 9 cited

On the proof of the Prime Number Theorem using Order Estimates for the Chebyshev Theta Function

Subham De

In this paper, we shall study the stellar work of Norwegian mathematician Selberg and Hungarian mathematician Erdős in providing an Elementary proof of the well-known \textit{Prime…

math.HO2023

A Brief Introduction To Splitting Of Primes Over Number Fields

Subham De

The study of \textit{Dedekind Zeta Functions} over a number field extension uses different aspects of both \textit{Algebraic} and \textit{Analytic Number Theory}. In this paper, we…

math.GM2023

On the Order Estimates for Specific Functions of and its Contribution towards the Analytic Proof of The Prime Number Theorem

Subham De

This article provides a proof of the famous \textit{Prime Number Theorem} by establishing an analogous statement of the same in terms of the second \textit{Chebyshev Function} $ψ(x…

cs.NI2023

Packet Reception Probability: Packets That You Can't Decode Can Help Keep You Safe

Subham De, Deepak Vasisht, Hari Sundaram +1

This paper provides a robust, scalable Bluetooth Low-Energy (BLE) based indoor localization solution using commodity hardware. While WiFi-based indoor localization has been widely…

cs.NI2017★ 5 cited

Finding by Counting: A Probabilistic Packet Count Model for Indoor Localization in BLE Environments

Subham De, Shreyans Chowdhary, Aniket Shirke +3

We propose a probabilistic packet reception model for Bluetooth Low Energy (BLE) packets in indoor spaces and we validate the model by using it for indoor localization. We expect i…