Machine learning invariants of arithmetic curves

DOI10.1016/j.jsc.2022.08.017OpenAlexW4292673817WikidataQ114154408 ScholiaQ114154408MaRDI QIDQ2674021

Kyu-Hwan Lee, Thomas Oliver, Yang-Hui He

Publication date: 22 September 2022

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.04084

zbMATH Keywords

elliptic curvesBirch-Swinnerton-Dyer conjecturearithmetic geometryhyper-elliptic curvesmachine-learning

Mathematics Subject Classification ID

Modular and Shimura varieties (14G35) Software, source code, etc. for problems pertaining to algebraic geometry (14-04) Arithmetic algebraic geometry (Diophantine geometry) (11Gxx) Zeta and (L)-functions: analytic theory (11Mxx)

Related Items

Ranks of elliptic curves and deep neural networks

Uses Software

• Mathematica
• SageMath
• ElemStatLearn
• ecdata

Cites Work

• Mathematica
• Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
• Machine-learning the Sato-Tate conjecture
• Machine-learning number fields
• A heuristic for boundedness of ranks of elliptic curves
• Zeroes of zeta functions and symmetry
• The Calabi–Yau Landscape
• The elements of statistical learning. Data mining, inference, and prediction
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