The BSD Conjecture: Bridging Analysis and Arithmetic скачать в хорошем качестве

The BSD Conjecture: Bridging Analysis and Arithmetic

In the 1960s, Bryan Birch and Peter Swinnerton-Dyer sat at Cambridge computing points on elliptic curves — tedious work, but they noticed a pattern. The number of rational points on a curve seemed mysteriously connected to a completely different object: its L-function. The BSD Conjecture makes this connection precise: the rank of an elliptic curve (how many independent rational points it has) equals the order of vanishing of its L-function at s = 1. We demystify this problem, and quantum physics, with the geometric Master Equation.   / a-unified-framework-for-the-millennium-pri...