Tag Archives: Zagier

How not to be wrong

Posted on May 7, 2015 by galoisrepresentations

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 →

Posted in Book Review | Tagged , , , , , , , , , , , , , , , , | 7 Comments

Mysterious Formulae

Posted on November 15, 2014 by galoisrepresentations

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 , , , , , , , , , , | 2 Comments

The Artin conjecture is rubbish

Posted on September 10, 2014 by galoisrepresentations

Let be a continuous irreducible representation. Artin conjectured that the L-function 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 , , , , , , , , , , , , | 9 Comments

K_2(O_F) for number fields F

Posted on September 4, 2014 by galoisrepresentations

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 , , , , , , , , , , , , , , , , , , , | Leave a comment

En Passant III

Posted on August 31, 2013 by galoisrepresentations

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 , , , , , , , , , , , | 2 Comments