Non-vanishing of central \(L\)-values of canonical CM elliptic curves with quadratic twists
From MaRDI portal
Publication:309255
DOI10.1007/s00229-015-0812-0zbMath1357.11057OpenAlexW2222734795MaRDI QIDQ309255
Publication date: 7 September 2016
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00229-015-0812-0
Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)
Cites Work
- Unnamed Item
- On the L-functions of canonical Hecke characters of imaginary quadratic fields. II
- Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
- On the L-functions of canonical Hecke characters of imaginary quadratic fields
- Galois conjugacy of unramified twists of Hecke characters
- On some explicit formulas in the theory of Weil representation
- Splitting metaplectic covers of dual reductive pairs
- Local densities of 2-adic quadratic forms
- Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer
- On CM Abelian varieties over imaginary quadratic fields
- Central values of Hecke \(L\)-functions of CM number fields
- On the zeta-function of an abelian variety with complex multiplication
- Theta liftings and Hecke L-functions.
- Root Numbers of Hecke L-Functions of CM Fields
- The special values of the zeta functions associated with cusp forms
- Nonvanishing of central Hecke L-values and rank of certain elliptic curves
- Eigenfunctions of the Weil representation of unitary groups of one variable
- Theta dichotomy for unitary groups