Explicit Methods for Hilbert Modular Forms

From MaRDI portal
Publication:5264076

DOI10.1007/978-3-0348-0618-3_4zbMath1326.11018arXiv1010.5727OpenAlexW1797418667MaRDI QIDQ5264076

John Voight, Lassina Dembélé

Publication date: 20 July 2015

Published in: Elliptic Curves, Hilbert Modular Forms and Galois Deformations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5727




Related Items (31)

Hecke operators acting on optimal embeddings in indefinite quaternion algebrasNon-paritious Hilbert modular formsSpecial Hypergeometric Motives and Their L-Functions: Asai RecognitionOn the existence of abelian surfaces with everywhere good reductionFermat-type equations of signature \((13,13,p)\) via Hilbert cuspformsThe asymptotic Fermat’s Last Theorem for five-sixths of real quadratic fieldsThe rings of Hilbert modular forms for \(\mathbb{Q}(\sqrt{ 29})\) and \(\mathbb{Q}(\sqrt{ 37})\)Improved computation of fundamental domains for arithmetic Fuchsian groupsComputational Number Theory, Past, Present, and FutureSome extensions of the modular method and Fermat equations of signature \((13,13,n)\)Zeroes of quaternionic modular forms and central \(L\)-valuesThe sum of four squares over real quadratic number fieldsThe basis problem revisitedIdeal classes of orders in quaternion algebrasAn intriguing hyperelliptic Shimura curve quotient of genus 16Fermat's theorem over some totally real number fieldsOn Serre's uniformity conjecture for semistable elliptic curves over totally real fieldsAlmost totally complex points on elliptic curvesThe \(L\)-functions and Modular Forms Database projectContinued fractionsin $2$-stage Euclidean quadratic fieldsSlopes of Overconvergent Hilbert Modular FormsSuperelliptic equations arising from sums of consecutive powersPreimages for the Shimura map on Hilbert modular formsShifted powers in Lucas-Lehmer sequencesExact double averages of twisted \(L\)-valuesLattice Methods for Algebraic Modular Forms on Classical GroupsComputing Power Series Expansions of Modular FormsPerfect powers in sum of three fifth powersNonvanishing of twists of -functions attached to Hilbert modular formsAn algorithm for the principal ideal problem in indefinite quaternion algebrasExamples of abelian surfaces with everywhere good reduction




This page was built for publication: Explicit Methods for Hilbert Modular Forms