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Elias Rios

Publications and source records attributed to Elias Rios.

4 recordsLinked to original sources
arXiv2016

Asymptotic estimates on the Erdős-Straus conjecture

In this paper analyzes \textit{The Erdős-Straus conjecture} asserts that $f$$(n)$ $>$ 0 for every $n$ $\geq$ 2, where $f(n)$ indicates the number of solutions to the Diophantine Equation $\frac{4}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}$. We show that there exists a function $G(p)$ to be a boundary asymptotic of $\sum_{p\leq{N}}f_{I}(p)$, which will have an associated error. We analyze the case when n is a prime number, this was separately developed by Terence Tao [8] and Jia [1], [2].

math.GM↗
arXiv2014

Study odd numbers with traditional functions

In this paper we will focus on the study of relationships that can exist between odd numbers and different traditional functions like the gamma function, Riemann zeta function or function of von Mangoldt. Number theory applies to this study. It will also analyze the convergence of the series obtained as a result of that relationship.

math.GM↗
arXiv2014

Every z-linear maps is a functional p-convex

The main result of the paper is the following: Every $z$-linear maps is a functional p-convex. We will prove this statement using lemma developed by Kalton and Peck [6] and theorem developed by Aoki and Rolewicz.Based on the definition of functional and using the tool of the triangle inequality prove the following theorem.

math.GM↗