Machine-Learning the Sato--Tate Conjecture

Learning Algebraic Structures: Preliminary Investigations

Original

Y. H. He and M. Kim, · 1905

Earlier work this paper cites.

Machine learning Calabi–Yau metrics

Original

A. Ashmore, Y. H. He, and B. A. Ovrut, · 1910

Earlier work this paper cites.

Machine Learning meets Number Theory: The Data Science of Birch–Swinnerton–Dyer

Original

L. Alessandretti, A. Baronchelli, and Y. H. He, · 1911

Earlier work this paper cites.

Effective versions of the Chebotarev density theorem

J. Lagarias and A. Odlyzko, · 1975

Earlier work this paper cites.

Comparison of the predicted and observed secondary structure of T4 phage lysozyme

B. W. Matthews, · 1975

Earlier work this paper cites.

Quelques applications du theoreme de densite de Chebotarev

J.-P. Serre · 1981

Earlier work this paper cites.

The existence of infinitely many supersingular primes for every elliptic curve over ℚ \mathbb{Q}

N. Elkies, · 1987

Earlier work this paper cites.

Springer Graduate Texts in Mathematics 151

J. H. Silverman, Advanced topics in the arithmetic of elliptic curves · 1994

Earlier work this paper cites.

Random matrices, Frobenius eigenvalues, and monodromy

N. M. Katz and P. Sarnak · 1999

Earlier work this paper cites.

Trevor Hastie, The elements of statistical learning : data mining, inference, and prediction

2001

Earlier work this paper cites.

Quiver Mutations, Seiberg Duality and Machine Learning

Original

J. Bao, S. Franco, Y. H. He, E. Hirst, G. Musiker, and Y. Xiao, · 2006

Earlier work this paper cites.

Graph Laplacians, Riemannian Manifolds and their Machine-Learning

Original

Y. H. He and S. T. Yau, · 2006

Cited alongside, same era.

Auto-correlation functions of Sato–Tate distributions and identities of symplectic characters

Original

K.-H. Lee and S.-J. Oh, · 2006

Cited alongside, same era.

Automorphy for some ℓ \ell -adic lifts of automorphic mod ℓ \ell Galois Representations II

R. Taylor, · 2008

Cited alongside, same era.

Determining monodromy groups of abelian varieties

Original

D. Zywina, · 2009

Cited alongside, same era.

A family of Calabi–Yau varieties and potential automorphy

M. Harris, N. Shepherd–Barron, and R. Taylor, · 2010

Cited alongside, same era.

Trans. Amer. Math. Soc., 369

C. Johansson. On the Sato–Tate conjecture for non-generic abelian surfaces · 2017

Later among the works it cites.

Machine Learning of Calabi-Yau Volumes

D. Krefl and R. K. Seong, · 2017

Later among the works it cites.

Evolving neural networks with genetic algorithms to study the String Landscape

F. Ruehle, · 2017

Later among the works it cites.

Rigorous computation of the endomorphism ring of a Jacobian

E. Costa, N. Mascot, J. Sijsling, and J. Voight, · 2019

Later among the works it cites.

Deep Learning the Hyperbolic Volume of a Knot

V. Jejjala, A. Kar, and O. Parrikar, · 2019

Later among the works it cites.

Hyperelliptic curves, L L -polynomials, and random matrices

K. S. Kedlaya and A. V. Sutherland · 2019

Later among the works it cites.