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Tag Archives: MO
The class number 100 problem
Some time ago, Mark Watkins busted open the “class number n” problem for smallish n, finding all imaginary quadratic fields of class number at most 100 (the original paper is here) Although the paper describes the method in detail, it … Continue reading
Posted in Mathematics, Uncategorized
Tagged 1842523, 5519, 97, Arithmetic Groups, Class Number Problem, Ellenberg, Gauss, Helfgott, Hyperbolic 3manifolds, LMFDB, Mark Watkins, MO, Pierce, Venkatesh
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A public service announcement concerning FontaineMazur for GL(1)
There’s a rumour going around that results from transcendence theory are required to prove the FontaineMazur conjecture for . This is not correct. In Serre’s book on adic representations, he defines a adic representation of a global Galois group to … Continue reading
Posted in Mathematics
Tagged FontaineMazur Conjecture, Galois Representations, MO, Serre
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Is this the worst MO question ever?
(Link here). To answer the question of the title, probably not. But it is a fantastic piece of nonsense, falling somewhere between Edward Lear and a reverse Sokal hoax.
Jacobi by pure thought
JB asks whether there is a conceptual proof of Jacobi’s formula: Here (to me) the best proof is one that requires the least calculation, not necessarily the “easiest.” Here is my attempt. We use the following property of , which … Continue reading