Timeline for Does the following operation on modular forms yield something modular?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 30, 2013 at 17:48 | vote | accept | Simon Rose | ||
| Nov 21, 2013 at 21:34 | comment | added | Simon Rose | @SamirSiksek: That seems to be almost exactly what I want, although that setting seems to be more restrictive (e.g. gcd(k,m) = 1, and the original function must be a cusp form). Can this restriction be removed? Or does that proof simply apply in that restricted case? | |
| Nov 21, 2013 at 21:32 | comment | added | Simon Rose | Ah, this is good news; as it turns out I don't think I actually need the functions $f_{m,k}(q)$ that I mentioned. | |
| Nov 21, 2013 at 20:03 | comment | added | Siksek | The expression for $g_{m,k}$ as a linear combination of the $g_\chi$ is given in Soma Purkait's thesis (page 68). She also determines the level. wrap.warwick.ac.uk/50236 | |
| Nov 21, 2013 at 17:48 | comment | added | ACL | But can't one write the $g_{m,k}$ as linear combinations of forms of the form $g_\chi$ (for various Dirichlet characters $\chi$ modulo divisors of $m$)? | |
| Nov 21, 2013 at 17:24 | history | answered | David Loeffler | CC BY-SA 3.0 |