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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…