Ariane M. Masuda

activity

20072026

most citedOne- and Two-Point Codes over Kummer Extensions

19 citations · 53 across the 16 of their papers we have counts for

collaborators

17 papers

cs.LG2026

QEDBENCH: Quantifying the Alignment Gap in Automated Evaluation of University-Level Mathematical Proofs

Santiago Gonzalez, Alireza Amiri Bavandpour, Peter Ye +48

As Large Language Models (LLMs) saturate elementary benchmarks, the research frontier has shifted from generation to the reliability of automated evaluation. We demonstrate that st…

math.GR2021

Solving the membership problem for certain subgroups of $S L_{2} (Z)$

Sandie Han, Ariane M. Masuda, Satyanand Singh +1

For positive integers $u$ and $v$ , let $L_{u} = [1 u 01]$ and $R_{v} = [10 v 1]$ . Let $G_{u, v}$ be the group generated by $…

math.NT2021★ 8 cited

Rédei permutations with the same cycle structure

Juliane Capaverde, Ariane M. Masuda, Virgínia M. Rodrigues

Let $F_{q}$ be the finite field of order $q$ , and $P^{1} (F_{q}) = F_{q} \cup {\infty}$ . Write $(x + y)^{m}$ as $N (x, y) + D (x, y) y$ . For $m\in\mathb…

math.NT2020

Permutation binomials of the form $x^{r} (x^{q - 1} + a)$ over $F_{q^{e}}$

Ariane M. Masuda, Ivelisse Rubio, Javier Santiago

We present several existence and nonexistence results for permutation binomials of the form $x^{r} (x^{q - 1} + a)$ , where $e \geq 2$ and $a \in F_{q^{e}}^{*}$ . As a consequence, we ob…

math.NT2020★ 5 cited

Rédei permutations with cycles of the same length

Juliane Capaverde, Ariane M. Masuda, Virgínia M. Rodrigues

Let $F_{q}$ be a finite field of odd characteristic. We study Rédei functions that induce permutations over $P^{1} (F_{q})$ whose cycle decomposition contains o…

math.GR2019★ 1 cited

Subgroups of $S L_{2} (Z)$ characterized by certain continued fraction representations

Sandie Han, Ariane M. Masuda, Satyanand Singh +1

For positive integers $u$ and $v$ , let $L_{u} = [1 u 01]$ and $R_{v} = [10 v 1]$ . Let $S_{u, v}$ be the monoid genera…