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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, ChowlaSelberg, Faltings Height, Gross, Kudla, MSRI, Mysterious Formulae, Rapoport, Tonghai Yang, Zagier
2 Comments
The Artin conjecture is rubbish
Let be a continuous irreducible representation. Artin conjectured that the Lfunction is analytically continues to an entire function on (except for the trivial representation where the is a simple pole at one) and satisfies a functional equation of a precise … Continue reading
Posted in Mathematics
Tagged Andrew Booker, Artin, Cebotarev Density Theorem, Class Number Problem, Goldfeld, GRH, Gross, Jo Dwyer, Langlands, Rubbish, Springer, Stark, Zagier
9 Comments
K_2(O_F) for number fields F
Belabas and Gangl have a nice paper ( Generators and relations for , which can be found here) where they compute for a large number of quadratic fields . There main result is a method for proving upper bounds for … Continue reading
Posted in Mathematics
Tagged Alexander Rahm, Aurel Page, Banaszak, Belabas, Bloch, Borel, Brownkin, Chern class map, Euler System, Gangl, Higher Regulators, Hutchinson, Ktheory, 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