Philemon Urbain Mballa

collaborators

4 papers

math.NT2026

A unified parametric approach to the ErdÅs--Straus conjecture with explicit solutions for a set of integers of natural density one

Philemon Urbain Mballa

We develop a parametric approach to study the Diophantine equation $\frac{k}{n} = \frac{1}{x} + \frac{1}{y} + \frac{1}{z}$ , underlying the ErdÅs--Straus ( $k = 4$ ), SierpiÅski ($k=5…

math.NT2026

Potential Relation Between the Riemann Zeta Function and the Polynomial Function $F$ of the Generalized ErdÅs--Straus Conjecture, Subject to its Analytic Continuation

Philemon Urbain Mballa

In this article, we explore a natural extension of the quadratic parametrization introduced in our previous work. By replacing the integer $n$ by $n^{s}$ ( $s \in R, s > 1$ ) and…

math.NT2026

Partial Resolution of the ErdÃ¶s-Straus, Sierpinski, and Generalized ErdÃ¶s-Straus Conjectures Using New Analytical Formulas

Philemon Urbain Mballa

This article proposes a unified analytical approach leading to a partial resolution of the Erdos-Straus, Sierpinski conjectures, and their generalization. We introduce an equivalen…

math.NT2025

An Unexpected Connection Between the Discrete Zeta Function and the Erdos-Straus Conjecture Under Mballa's Conjecture

Philemon Urbain Mballa

In this article, we establish an additive decomposition of the discrete zeta function (for $s \in N^{*}$ , $s > 1$ ), more precisely of the function $4 (I^¶ (s) - 1)$ , as a series…

A unified parametric approach to the ErdÅs--Straus conjecture with explicit solutions for a set of integers of natural density one

Potential Relation Between the Riemann Zeta Function and the Polynomial Function F of the Generalized ErdÅs--Straus Conjecture, Subject to its Analytic Continuation

Partial Resolution of the ErdÃ¶s-Straus, Sierpinski, and Generalized ErdÃ¶s-Straus Conjectures Using New Analytical Formulas

An Unexpected Connection Between the Discrete Zeta Function and the Erdos-Straus Conjecture Under Mballa's Conjecture

A unified parametric approach to the ErdÅs--Straus conjecture with explicit solutions for a set of integers of natural density one

Potential Relation Between the Riemann Zeta Function and the Polynomial Function $F$ of the Generalized ErdÅs--Straus Conjecture, Subject to its Analytic Continuation