Ronald Orozco L'opez

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20212026

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-Polytopic Numbers Defined on Generalized Fibonacci Polynomials

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math.NT2025

A Resolvent Approach to Generalized Lambert Series and $q$ -Series Identities

Ronald Orozco López

We introduce a partial-theta-type $q$-operator $Θ (y D_{q}) = n \geq 0 \sum q^{(2 n)} y^{n} D_{q}^{n}, D_{q} f (x) = \frac{f ( q x )}{x},$ and show that it admits the resolvent representati…

math.NT2024

Irrationality of the Deformed Euler Numbers $e_{s, t, u}$

Ronald Orozco López

In this paper, we define the deformed Euler $(s, t)$ -numbers $e_{s, t, u}$ Furthermore, we prove that $e_{a s, a^{2} t, u^{- 1}}$ and $e_{a s, a^{2} t, u^{- 1}}^{- 1}$ are irration…

A Resolvent Approach to Generalized Lambert Series and q-Series Identities

Irrationality of the Deformed Euler Numbers es,t,u​

A Resolvent Approach to Generalized Lambert Series and $q$ -Series Identities

Irrationality of the Deformed Euler Numbers $e_{s, t, u}$