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math.NT2026
Statistical properties of Hecke correspondences
Sebastián Herrero, Ricardo Menares, Juan Rivera-Letelier
This paper studies the statistical properties of the dynamical system generated by a Hecke correspondence on the modular curve over and, for every prime number , ov…
math.NT2026
Closing the gap around the essential minimum of height functions with linear programming
José Burgos Gil, Ricardo Menares, Binggang Qu +1
For many common height functions, it is notoriously hard to compute the essential minimum. Nevertheless there are two classical methods, one giving lower bounds and the other givin…
math.NT2024
The R-transform as a power map and its generalisations to higher degree
Alp Bassa, Ricardo Menares
We give iterative constructions for irreducible polynomials over F_q of degree nt^r for all nonnegative integers r, starting from irreducible polynomials of degree n. The iterative…