Antti Haavikko

works on

base-change lifts 1 hecke eigenvalues 1 hida families 1 hilbert modular forms 1 totally real fields 1

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

collaborators

3 papers

math.NT2026

On the computation of base-change lifts and lifts of Hida families

IvÃ¡n Blanco-ChacÃ³n, Luis Dieulefait, Antti Haavikko

The paper gives an explicit formula for Hecke eigenvalues of Hilbert modular forms that arise as base‑change lifts of classical newforms to totally real fields, shows how their L‑f…

cs.CR2025

A Fast Multiplication Algorithm and RLWE-PLWE Equivalence for the Maximal Real Subfield of the $2^{r} p^{s}$ -th Cyclotomic Field

Wilmar BolaÃ±os, Antti Haavikko, Rodrigo MartÃn SÃ¡nchez-Ledesma

This paper proves the RLWE-PLWE equivalence for the maximal real subfields of the cyclotomic fields with conductor $n = 2^{r} p^{s}$ , where $p$ is an odd prime, and $r \geq 0$ and $s \…

cs.CR2025

Fast Multiplication and the PLWE-RLWE Equivalence for an Infinite Family of Maximal Real Subfields of Cyclotomic Fields

Joonas Ahola, IvÃ¡n Blanco-ChacÃ³n, Wilmar BolaÃ±os +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 $2^{r} 3^{s}$ …

On the computation of base-change lifts and lifts of Hida families

A Fast Multiplication Algorithm and RLWE-PLWE Equivalence for the Maximal Real Subfield of the 2rps-th Cyclotomic Field

Fast Multiplication and the PLWE-RLWE Equivalence for an Infinite Family of Maximal Real Subfields of Cyclotomic Fields

A Fast Multiplication Algorithm and RLWE-PLWE Equivalence for the Maximal Real Subfield of the $2^{r} p^{s}$ -th Cyclotomic Field