Eduardo Dueñez

collaborators

3 papers

math.LO2026

Complexity of deep computations via topology of function spaces

Eduardo DueÃ±ez, JosÃ© Iovino, Tonatiuh Matos-Wiederhold +2

We use topological methods to study complexity of deep computations and limit computations. We use topology of function spaces, specifically, the classification Rosenthal compacta,…

math.LO2026

Approximability of deep computations

Samson Alva, Eduardo DueÃ±ez, Jose Iovino +1

This is the first of a series of papers in which we study deep computations (ultracomputations) and deep iterates, formalizing the ideas of "asymptotic limit" of computations and c…

math.NT2024

Sums of Powers by L'Hopital's Rule

Eduardo DueÃ±ez, Asimina S. Hamakiotes, Steven J. Miller

For a positive integer $d$ , let $p_{d} (n) := 0^{d} + 1^{d} + 2^{d} + \dots + n^{d}$ ; i.e., $p_{d} (n)$ is the sum of the first $d^{th}$ -powers up to $n$ . It's well known that $p_{d} (n)$ …