A statistical view on the conjecture of Lang about the canonical height on elliptic curves
From MaRDI portal
Publication:5243106
DOI10.1090/tran/7912zbMath1473.11137arXiv1902.08435OpenAlexW2952960373WikidataQ123011867 ScholiaQ123011867MaRDI QIDQ5243106
Publication date: 14 November 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.08435
Rational points (14G05) Elliptic curves over global fields (11G05) Counting solutions of Diophantine equations (11D45) Heights (11G50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves
- Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves
- Lang's height conjecture and Szpiro's conjecture
- Lower bounds for height functions
- The canonical height and integral points on elliptic curves
- Lower bound for the canonical height on elliptic curves
- Mean values of derivatives of modular \(L\)-series
- Einige Sätze über quadratfreie Zahlen
- The average rank of elliptic curves. I. (With an appendix by Oisín McGuinness: The explicit formula for elliptic curves over function fields)
- Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0
- Height of rational points on quadratic twists of a given elliptic curve
- Inhomogeneous cubic congruences and rational points on del Pezzo surfaces
- A positive proportion of elliptic curves over $\mathbb{Q}$ have rank one
- The Difference Between the Weil Height and the Canonical Height on Elliptic Curves
- The Arithmetic of Elliptic Curves
- Heuristics on Tate-Shafarevitch Groups of Elliptic Curves Defined over Q
- Low-Lying Zeros of Maass Form L-Functions
- On the order of vanishing of modular $L$-functions at the critical point
This page was built for publication: A statistical view on the conjecture of Lang about the canonical height on elliptic curves