Daniel Flores

activity

20232025

collaborators

4 papers

math.NT2025

The Hasse principle for random homogeneous polynomials in thin sets

Daniel Flores, Kiseok Yeon

Let $d$ and $n$ be natural numbers. Let $ν_{d, n} : R^{n} \to R^{N}$ denote the Veronese embedding with $N = N_{n, d} := (d n + d - 1)$ , defined by listing all t…

math.NT2025

Existence of $K$ -multimagic squares and magic squares of $k$ th powers with distinct entries

Daniel Flores

We demonstrate the existence of $K$ -multimagic squares of order $N$ consisting of distinct integers whenever $N > 2 K (K + 1)$ . This improves upon our earlier result in which we only re…

math.NT2024

A circle method approach to K-multimagic squares

Daniel Flores

In this paper we investigate $K$ -multimagic squares of order $N$ , these are $N \times N$ magic squares which remain magic after raising each element to the $k$ th power for all $2…

math.NT2023

A Quantitative Hasse Principle for Weighted Quartic Forms

Daniel Flores

We derive, via the Hardy-Littlewood method, an asymptotic formula for the number of integral zeros of a particular class of weighted quartic forms under the assumption of non-singu…

The Hasse principle for random homogeneous polynomials in thin sets

Existence of K-multimagic squares and magic squares of kth powers with distinct entries

A circle method approach to K-multimagic squares

A Quantitative Hasse Principle for Weighted Quartic Forms

Existence of $K$ -multimagic squares and magic squares of $k$ th powers with distinct entries