Machine-learning the Sato-Tate conjecture
DOI10.1016/j.jsc.2021.11.002zbMath1483.11133arXiv2010.01213OpenAlexW3215218315WikidataQ113869818 ScholiaQ113869818MaRDI QIDQ2066955
Kyu-Hwan Lee, Thomas Oliver, Yang-Hui He
Publication date: 17 January 2022
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.01213
Learning and adaptive systems in artificial intelligence (68T05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Computational number theory (11Y99)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A family of Calabi-Yau varieties and potential automorphy
- Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II
- The existence of infinitely many supersingular primes for every elliptic curve over \(\mathbb Q\).
- Quelques applications du théorème de densité de Chebotarev
- Evolving neural networks with genetic algorithms to study the string landscape
- Machine learning in the string landscape
- Deep learning the hyperbolic volume of a knot
- Sato-Tate distributions of twists of \(y^2=x^5-x\) and \(y^2=x^6+1\)
- A database of genus-2 curves over the rational numbers
- Sato–Tate distributions and Galois endomorphism modules in genus 2
- Rigorous computation of the endomorphism ring of a Jacobian
- Sato-Tate distributions on Abelian surfaces
- On the Sato-Tate conjecture for non-generic abelian surfaces
- Hyperelliptic curves, L-polynomials, and random matrices
- The elements of statistical learning. Data mining, inference, and prediction