Subham De

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math.GM2024

Inequalities involving Higher Degree Polynomial Functions in $I ¨ (x)$

Subham De

The primary purpose of this article is to study the asymptotic and numerical estimates in detail for higher degree polynomials in $I ¨ (x)$ 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 $I ¨ (x)$ , \begin{align*} (Ï(x))^{2}<\fr…

Inequalities involving Higher Degree Polynomial Functions in I¨(x)

On proving an Inequality of Ramanujan using Explicit Order Estimates for the Mertens Function

Inequalities involving Higher Degree Polynomial Functions in $I ¨ (x)$