3 papers
math.NT2026
Modular Forms and Numerical Explorations of Rational Approximations to
Cynthia Bortolotto, Lucas Oliveira
We revisit Beukers' modular-form proof of the irrationality of from the point of view of the auxiliary weight two modular form. For the Fricke group , we show…
math.MG2025
Intersections of random chords of a circle
Cynthia Bortolotto, Victor Souza
Where are the intersection points of diagonals of a regular -gon located? What is the distribution of the intersection point of two random chords of a circle? We investigate the…
math.CA2020
On the endpoint behaviour of oscillatory maximal function
Tainara Borges, Cynthia Bortolotto, João P. G. Ramos
Inspired by a question of Lie, we study boundedness in subspaces of of oscillatory maximal functions. In particular, we construct functions in w…