Timeline for Impact of the squarefreeness of the level for modular forms
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Oct 8 at 3:15 | answer | added | paul garrett | timeline score: 2 | |
Oct 7 at 15:02 | history | became hot network question | |||
Oct 7 at 12:43 | answer | added | Kimball | timeline score: 10 | |
Oct 7 at 12:38 | comment | added | Will Sawin | There are several different reasons squarefreeness of the level can simplify things, and different ones are relevant for different problems. Beyond listing them, not much can be said. A few off the top of my head: The trace formula simplifies in squarefree level. Atkin-Lehner operations act transitively on the cusps, so the q-expansion at every cusp looks the same. For squarefree level the local representation at p is determined from the coefficient of $q^p$ in the $q$-expansion for primes dividing $p$. For squarefree level mod $p$ exponential sums show up in certain problems, not $p$-adic. | |
Oct 7 at 11:36 | review | Close votes | |||
Oct 13 at 3:08 | |||||
Oct 7 at 11:20 | comment | added | David Loeffler | This question is far too broad; voting to close. | |
Oct 7 at 7:02 | history | asked | Lyer Lier | CC BY-SA 4.0 |