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On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.

10 votes

Deducing BSD from Gross-Zagier and Kolyvagin

Let $E/\mathbb{Q}$ be an elliptic curve of analytic rank $0$ or $1$. Then indeed the rank part of the BSD conjecture is known, but the exact formula for the leading term is not yet fully proven. The $ …
Chris Wuthrich's user avatar