Cruz Castillo

works on

elliptic curves 1 l-functions 1 non-vanishing 1 quartic characters 1 rank zero 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.NT2026

Non-vanishing for quartic Hecke $L$ -functions and ranks of elliptic curves

Cruz Castillo, Alexandre de Faveri, Alexander Dunn

The paper proves that a positive proportion of quartic Hecke L‑functions attached to quartic residue symbols over Gaussian integers do not vanish at the central point, and uses thi…

math.NT2025

Eisenstein series modulo prime powers

Scott Ahlgren, Cruz Castillo, Clayton Williams

If $p \geq 5$ is prime and $k \geq 4$ is an even integer with $(p - 1) ∤ k$ we consider the Eisenstein series $G_{k}$ on $SL_{2} (Z)$ modulo powers of $p$ . It is…

math.NT2025

Arithmetic properties of generalized Frobenius partitions

Scott Ahlgren, Cruz Castillo

Ramanujan proved three famous congruences for the partition function modulo 5, 7, and 11. The first author and Boylan proved that these congruences are the only ones of this type.…

Non-vanishing for quartic Hecke L-functions and ranks of elliptic curves

Eisenstein series modulo prime powers

Arithmetic properties of generalized Frobenius partitions

Non-vanishing for quartic Hecke $L$ -functions and ranks of elliptic curves