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More specifically, the Millennium Prize version of the conjecture is that, if the elliptic curve E has rank r, then the L-function L(E, s) associated with it vanishes to order r at s = 1. Hilbert's tenth problem dealt with a more general type of equation, and in that case it was proven that there is no algorithmic way to decide whether a given ...
This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, is taken to have the value
where f (2k−1) is the (2k − 1)th derivative of f and B 2k is the (2k)th Bernoulli number: B 2 = ...
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Oregon was the No. 1 team ahead of Ohio State, Georgia and Miami. But the Buckeyes slot in at No. 5 in the projected playoff bracket. Unlike in the 10 previous years of the four-team playoff, ...
Liverpool’s lead at the top of the Premier League was cut to seven points after a thrilling 3-3 draw with Newcastle on Wednesday. Chelsea moved up to second by thrashing last-place Southampton 5 ...
The college football world was hit with sad news on Thursday.. ESPN "College GameDay" analyst Kirk Herbstreit announced on X (formerly Twitter) that his dog, Ben, has died after a fight with ...
Al Martino was the first person to reach Christmas number one, in 1952. The UK Singles Chart began in 1952 – appearing in the New Musical Express. [5] The positions of all songs are based on weekly sales (from Sunday to Saturday until 2015, then from Friday to Thursday).