Nonvanishing of twists of \(L\)-functions attached to Hilbert modular forms
type: Item
instance of: scholarly article
zbMATH Open document ID: 1296.11040
DOI: 10.1112/S1461157014000278
author: Gonzalo Tornaría
author: John Voight
author: Nathan Ryan
published in: LMS Journal of Computation and Mathematics
publication date: 2014-09-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/1405.6059
Mathematics Subject Classification ID: 11F41
Mathematics Subject Classification ID: 11M50
Mathematics Subject Classification ID: 11F67
zbMATH DE Number: 6340504
zbMATH Keywords: Hilbert modular form
zbMATH Keywords: \(L\)-function
zbMATH Keywords: nonvanishing
zbMATH Keywords: twist
zbMATH Keywords: central value
MaRDI profile type: Publication
arXiv ID: 1405.6059
cites work: On an effective determination of a Shintani's decomposition of the cone \({\mathbb{R}}_ +^ n\)
cites work: On the Transformation Formulas of Theta Series
cites work: Computation of central value of quadratic twists of modular L-functions
cites work: Factoring polynomials with rational coefficients
cites work: Corrigendum: ``Algorithmic enumeration of ideal classes for quaternion orders''
cites work: Random matrix theory and \(\zeta(1/2+it)\).
cites work: On Hilbert modular forms of half-integral weight
cites work: On Eisenstein series of half-integral weight
cites work: The special values of the zeta functions associated with Hilbert modular forms
cites work: Central values of quadratic twists for a modular form of weight 4
cites work: Computing Central Values of TwistedL-Series: The Case of Composite Levels
cites work: Shimura correspondence for level \(p^2\) and the central values of \(L\)-series
cites work: Examples of Shimura correspondence for level p2 and real quadratic twists
cites work: Quaternionic Manin symbols, Brandt matrices, and Hilbert modular forms
cites work: Random matrix theory and \(L\)-functions at \(s=1/2\).
cites work: The powers of logarithm for quadratic twists
cites work: On the Kohnen plus space for Hilbert modular forms of half-integral weight. I
cites work: Vanishing of L-functions of elliptic curves over number fields
cites work: Congruent Number Theta Coefficients to 1012
cites work: Random Matrix Theory and the Fourier Coefficients of Half-Integral-Weight Forms
cites work: On lattice bases with special properties
cites work: Central values of $L$-functions and half-integral weight forms
cites work: On a theorem of Waldspurger and on Eisenstein series of Klingen type
cites work: Lectures on Hilbert modular varieties and modular forms. With the assistance of Marc-Hubert Nicole
cites work: Some Heuristics about Elliptic Curves
cites work: The Magma algebra system. I: The user language
cites work: On elliptic curves and random matrix theory
cites work: Central value of automorphic \(L\)-functions
cites work: Colmez cones for fundamental units of totally real cubic fields
cites work: Explicit Methods for Hilbert Modular Forms
cites work: On the resolution of cusp singularities and the Shintani decomposition in totally real cubic number fields
cites work: Unramified Hilbert modular forms, with examples relating to elliptic curves
OpenAlex ID: W3121490722
title: Nonvanishing of twists of \(L\)-functions attached to Hilbert modular forms
description: scientific article; zbMATH DE number 6340504