Timeline for Where do the product expansions of modular forms come from?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 17, 2013 at 23:40 | vote | accept | Bruno Joyal | ||
| May 4, 2013 at 2:25 | comment | added | Daniel Parry | My understanding is that the connection is linked to lattice theory and discriminants of lattices. | |
| May 4, 2013 at 1:51 | answer | added | S. Carnahan♦ | timeline score: 2 | |
| May 3, 2013 at 16:38 | comment | added | Will Sawin | All power series with integer coefficients can be written formally as products of this type with integer exponents. | |
| May 3, 2013 at 15:27 | comment | added | Joël | Similar question: mathoverflow.net/questions/108552/… There was no answer on this site, but you can find an answer on this blog: galoisrepresentations.wordpress.com/2012/10/26/… | |
| May 3, 2013 at 15:18 | comment | added | Bruno Joyal | Dear @Steve: that's true, but I don't think the above products are directly related to the Euler products (they're products over $n$, rather than over $p$). Different animals! I may be wrong, though. Regards, | |
| May 3, 2013 at 14:39 | comment | added | Steve Huntsman | The Mellin transform provides a bridge between modular forms and Dirichlet series, which in turn can be expressed as Euler products. It may help to view the pair (Mellin transform, multiplicative convolution algebra) as analogous to the pair (Fourier transform, additive convolution algebra). | |
| May 3, 2013 at 13:33 | history | asked | Bruno Joyal | CC BY-SA 3.0 |