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Ciro Santilli (@cirosantilli, 34)

BSD conjecture bibliography

Table of contents
- Birch and Swinnerton-Dyer conjecture in two minutes by Ciro Santilli BSD conjecture bibliography
- Notes on Elliptic Curves (II) by BSD BSD conjecture bibliography

Birch and Swinnerton-Dyer conjecture in two minutes by Ciro Santilli (2023)

Summary:

overview of the formula of the BSD conjecture
definition of elliptic curve
domain of an elliptic curve. Prerequisite: field
elliptic curve group. Prerequisite: group
Mordell's theorem lets us define the rank of an elliptic curve over the rational numbers, which is the $r$ . Prerequisite: generating set of a group
reduction of an elliptic curve from $E (Q)$ to $E (F_{p}) m o d p$ lets us define $N_{r}$ as the number of elements of the generated finite group

Video 1. Source.

Notes on Elliptic Curves (II) by BSD (1965)

The paper that states the BSD conjecture.

Likely paywalled at: www.degruyter.com/document/doi/10.1515/crll.1965.218.79/html. One illegal upload at: virtualmath1.stanford.edu/~conrad/BSDseminar/refs/BSDorigin.pdf.

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