Juan Pablo De Rasis

collaborators

4 papers

math.NT2026

First-order definability of Campana Points and Darmon Points in algebraic function fields in one variable over number fields

Juan Pablo De Rasis

We give first-order definitions of Campana and Darmon points in algebraic function fields in one variable over number fields. These sets are geometric generalizations of $n$ -full i…

math.NT2026

First-order definability of Darmon points in number fields

Juan Pablo De Rasis, Hunter Handley

For a given number field $K$ , we give a $\forall\exists\forall$ -first order description of affine Darmon points over $P_{K}^{1}$ , and show that this can be improved to a $\for…

math.NT2026

On the efficient computation of Fourier coefficients of eta-quotients

Adrian Barquero-Sanchez, Juan Pablo De Rasis, NicolÃ¡s Sirolli +2

The Fourier coefficients of a negative weight eta-quotient, in many particular cases, and after Sussman in general, are known to be expressible by Hardy-Ramanujan-Rademacher type s…

math.NT2025

First-order definability of affine Campana points in the projective line over a number field

Juan Pablo De Rasis

We offer a $\forall\exists$ -definition for (affine) Campana points over $P_{K}^{1}$ (where $K$ is a number field), which constitute a set-theoretical filtration between $K$ an…