3 papers
math.NT2026
On the computation of base-change lifts and lifts of Hida families
Iván Blanco-Chacón, Luis Dieulefait, Antti Haavikko
We derive an explicit formula for the Hecke eigenvalues of a Hilbert modular form which is a base-change lift of a classical newform to a totally real number field. We show that fo…
cs.CR2025
A Fast Multiplication Algorithm and RLWE-PLWE Equivalence for the Maximal Real Subfield of the -th Cyclotomic Field
Wilmar Bolaños, Antti Haavikko, Rodrigo Martín Sánchez-Ledesma
This paper proves the RLWE-PLWE equivalence for the maximal real subfields of the cyclotomic fields with conductor , where is an odd prime, and and $s \…
cs.CR2024
Fast Multiplication and the PLWE-RLWE Equivalence for an Infinite Family of Maximal Real Subfields of Cyclotomic Fields
Joonas Ahola, Iván Blanco-Chacón, Wilmar Bolaños +3
We prove the equivalence between the Ring Learning With Errors (RLWE) and the Polynomial Learning With Errors (PLWE) problems for the maximal totally real subfield of the …