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Meta
Tag Archives: Zagier
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
Mysterious Formulae
I’m not one of those mathematicians who is in love with abstraction for its own sake (not that there’s anything wrong with that). I can still be seduced by an explicit example, or even — quell horreur — a definite … Continue reading
Posted in Mathematics
Tagged Ben Howard, Brunier, Chowla-Selberg, Dick Gross, Faltings Height, Kudla, MSRI, Mysterious Formulae, Rapoport, Tonghai Yang, Zagier
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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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K_2(O_F) for number fields F
Belabas and Gangl have a nice paper ( Generators and relations for \(K_2({\mathcal{O}}_F)\), which can be found here) where they compute \(K_2({\mathcal{O}}_E)\) for a large number of quadratic fields \(E\). There main result is a method for proving upper bounds … Continue reading
Posted in Mathematics
Tagged Alexander Rahm, Aurel Page, Banaszak, Belabas, Bloch, Borel, Brownkin, Chern class map, Euler System, Gangl, Higher Regulators, Hutchinson, K-theory, magma, pari, Popescu, Soule, Stark, Tricky Computation, Zagier
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En Passant III
Question: When you are sick in bed, can you do any mathematics? I just spent the past few weeks with a sinus infection and was completely unable to do anything productive, that is, apart from writing an NSF grant (which … Continue reading
Posted in Mathematics, Waffle
Tagged Akshay Venkatesh, Bilu, Bringmann, Dave Roberts, Harald Helfgott, Parent, Puzzle, QI, Rebolledo, Samir Siksek, Sickness, Zagier
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