Root numbers and parity phenomena
From MaRDI portal
Publication:6179388
DOI10.1112/blms.12931arXiv2303.07883OpenAlexW4387360825MaRDI QIDQ6179388
Unnamed Author, Vladimir Dokchitser
Publication date: 18 December 2023
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.07883
Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The \(p\)-parity conjecture for elliptic curves with a \(p\)-isogeny
- Characters of odd degree
- Disparity in Selmer ranks of quadratic twists of elliptic curves
- Some consequences of a formula of Mazur and Rubin for arithmetic local constants
- A note on the Mordell-Weil rank modulo \(n\)
- The local root number of elliptic curves with wild ramification
- Regulator constants and the parity conjecture
- On the Birch-Swinnerton-Dyer quotients modulo squares
- Ranks of twists of elliptic curves and Hilbert's tenth problem
- A classical Diophantine problem and modular forms of weight \(3/2\)
- The special values of the zeta functions associated with Hilbert modular forms
- The representation theory of the symmetric groups
- Calculating root numbers of elliptic curves over \(\mathbb{Q}\)
- The Magma algebra system. I: The user language
- Some remarks on signs in functional equations
- Generalizing the Birch-Stephens theorem. I: Modular curves
- Root number of twists of an elliptic curve
- Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0
- Self-points on elliptic curves
- Parity of ranks for elliptic curves with a cyclic isogeny
- Congruent numbers and Heegner points
- 2-descent on elliptic curves and rational points on certain Kummer surfaces
- Root numbers and ranks in positive characteristic
- Diophantine analysis and modular forms
- Algorithm for determining the type of a singular fiber in an elliptic pencil
- Root numbers and parity of ranks of elliptic curves
- Arithmetic on Curves of Genus 1 : III. The Tate-Šafarevič and Selmer Groups
- The parity conjecture for elliptic curves at supersingular reduction primes
- Root numbers of abelian varieties
- Compatibility of arithmetic and algebraic local constants (the case )
- Root numbers of elliptic curves in residue characteristic 2
- Root numbers, Selmer groups, and non-commutative Iwasawa theory
- Elliptic curves with all quadratic twists of positive rank
- On the parity of ranks of Selmer groups IV. With an appendix by Jean-Pierre Wintenberger
- Class Numbers of the Simplest Cubic Fields
- Selmer's Conjecture and Families of Elliptic Curves
- Congruence Properties of Congruent Numbers
- Signes locaux des courbes elliptiques en 2 et 3
- Heegner Points over Towers of Kummer Extensions
- Explicit root numbers of abelian varieties
- Notes on the Parity Conjecture
- A Note on the Brauer-Speiser Theorem
- Root numbers of non-abelian twists of elliptic curves
- A conjecture concerning rational points on cubic curves
- Ranks of elliptic curves in cubic extensions
- Local and global densities for Weierstrass models of elliptic curves
- On the parity conjecture for abelian surfaces