3 papers
math.AG2026
Hypersurfaces containing involutive cones in projective symplectic spaces
Gabriel A. Guedes
Let be a complex symplectic vector space and let carry the induced contact structure and symplectic polarity. We study the loci of hypersurfaces containing codi…
math.NT2026
Perfect numbers, Wieferich primes and the solutions of
Gabriel Guedes, Ricardo Machado
In this article we focus on the solutions of a congruence equation: . Using the main result of this article and the SageMath software, we improve l…
math.NT2026
Structured Solutions of Prime-Base Binomial Congruences
Gabriel Araújo Guedes, Ricardo Nunes Machado Junior
In this paper, we study the congruence for a prime base . Motivated by the OEIS sequence \seqnum{A080469} and the conjectural existence of inf…