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Meta
Tag Archives: Class Number Problem
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
How not to be wrong
I recently finished listening to Jordan’s book “how not to be wrong,” and thought that I would record some of the notes I made. Unlike other reviews, Persiflage will cut through to the key aspects of the book which perhaps … Continue reading
The Artin conjecture is rubbish
Let \(\rho: G_{\mathbf{Q}} \rightarrow \mathrm{GL}_N(\mathbf{C})\) be a continuous irreducible representation. Artin conjectured that the L-function \(L(\rho,s)\) is analytically continues to an entire function on \(\mathbf{C}\) (except for the trivial representation where the is a simple pole at one) and satisfies … Continue reading
Posted in Mathematics
Tagged Andrew Booker, Artin, Cebotarev Density Theorem, Class Number Problem, Dick Gross, Goldfeld, GRH, Jo Dwyer, Langlands, Rubbish, Springer, Stark, Zagier
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