Corpus ID: 207852570

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

@article{Alessandretti2019MachineLM,
  title={Machine Learning meets Number Theory: The Data Science of Birch-Swinnerton-Dyer},
  author={Laura Alessandretti and A. Baronchelli and Yanghui He},
  journal={ArXiv},
  year={2019},
  volume={abs/1911.02008}
}
  • Laura Alessandretti, A. Baronchelli, Yanghui He
  • Published 2019
  • Mathematics, Computer Science, Physics
  • ArXiv
  • Empirical analysis is often the first step towards the birth of a conjecture. This is the case of the Birch-Swinnerton-Dyer (BSD) Conjecture describing the rational points on an elliptic curve, one of the most celebrated unsolved problems in mathematics. Here we extend the original empirical approach, to the analysis of the Cremona database of quantities relevant to BSD, inspecting more than 2.5 million elliptic curves by means of the latest techniques in data science, machine-learning and… CONTINUE READING
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