3 papers
math.NT2024
On Proving Ramanujan's Inequality using a Sharper Bound for the Prime Counting Function
Subham De
This article provides a proof that the Ramanujan's Inequality given by, holds unconditionally for every $x\geq \exp(43.5102…
math.GM2024
Inequalities involving Higher Degree Polynomial Functions in
Subham De
The primary purpose of this article is to study the asymptotic and numerical estimates in detail for higher degree polynomials in having a general expression of the form, \…
math.GM2024
On proving an Inequality of Ramanujan using Explicit Order Estimates for the Mertens Function
Subham De
This research article provides an unconditional proof of an inequality proposed by Srinivasa Ramanujan involving the Prime Counting Function , \begin{align*} (Ï(x))^{2}<\fr…