Nonvanishing of twists of -functions attached to Hilbert modular forms
DOI10.1112/S1461157014000278zbMath1296.11040arXiv1405.6059OpenAlexW3121490722MaRDI QIDQ2878846
Gonzalo Tornaría, John Voight, Nathan C. Ryan
Publication date: 5 September 2014
Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.6059
Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Relations with random matrices (11M50)
Related Items (1)
Cites Work
- Colmez cones for fundamental units of totally real cubic fields
- Unramified Hilbert modular forms, with examples relating to elliptic curves
- Shimura correspondence for level \(p^2\) and the central values of \(L\)-series
- On elliptic curves and random matrix theory
- On Eisenstein series of half-integral weight
- On Hilbert modular forms of half-integral weight
- Factoring polynomials with rational coefficients
- The special values of the zeta functions associated with Hilbert modular forms
- On the resolution of cusp singularities and the Shintani decomposition in totally real cubic number fields
- On a theorem of Waldspurger and on Eisenstein series of Klingen type
- On an effective determination of a Shintani's decomposition of the cone \({\mathbb{R}}_ +^ n\)
- The Magma algebra system. I: The user language
- Central value of automorphic \(L\)-functions
- Lectures on Hilbert Modular Varieties and Modular Forms
- On the Kohnen plus space for Hilbert modular forms of half-integral weight I
- Corrigendum: Algorithmic Enumeration of Ideal Classes for Quaternion Orders
- Central values of $L$-functions and half-integral weight forms
- Random Matrix Theory and the Fourier Coefficients of Half-Integral-Weight Forms
- Quaternionic Manin symbols, Brandt matrices, and Hilbert modular forms
- Some Heuristics about Elliptic Curves
- The powers of logarithm for quadratic twists
- Vanishing of L-functions of elliptic curves over number fields
- Computation of central value of quadratic twists of modular L-functions
- Examples of Shimura correspondence for level p2 and real quadratic twists
- Central values of quadratic twists for a modular form of weight 4
- On the Transformation Formulas of Theta Series
- Congruent Number Theta Coefficients to 1012
- Computing Central Values of TwistedL-Series: The Case of Composite Levels
- Explicit Methods for Hilbert Modular Forms
- On lattice bases with special properties
- Random matrix theory and \(L\)-functions at \(s=1/2\).
- Random matrix theory and \(\zeta(1/2+it)\).
This page was built for publication: Nonvanishing of twists of -functions attached to Hilbert modular forms