Tag Archives: modular forms

Central Extensions and Weight One Forms

As mentioned in the comments to the last post, Kevin Buzzard and Alan Lauder have made an extensive computation of weight one modular forms in characteristic zero (see also here). Thinking about what that data might contain, I wondered about … Continue reading

Posted in Mathematics, Uncategorized | Tagged , , , , , , , | 1 Comment

The distribution of Hecke eigenvalues, part II

Here are some numbers from KB promised in my last post. “For the first 61595 newforms of squarefree level coprime to 15 here’s the field extension of Z/3Z generated by the field extensions:” Total Number Number of Galois conjugacy classes … Continue reading

Posted in Mathematics | Tagged , , , , , | Leave a comment

Gross Fugue

Here are some variations on the theme of the last post, which is also related to a problem of Dick Gross. In this post, I want to discuss weight one modular forms where the level varies in the “vertical” aspect … Continue reading

Posted in Mathematics | Tagged , , , , , | Leave a comment

The mystery of the primes

No, this is not the sequel to Marcus du Sautoy’s book, but rather a curious observation regarding George Schaeffer’s tables of “ethereal” weight one Katz modular eigenforms (which you can find starting on p.64 here). Let be a positive integer, … Continue reading

Posted in Mathematics | Tagged , , , , , | 5 Comments