Timeline for Non-vanishing of L-series of modular forms (easy case?)
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 2, 2011 at 4:32 | comment | added | Junkie | There is another paper magma.maths.usyd.edu.au/~watkins/papers/heur.pdf and it gives 3 examples of weight 8 forms that vanish (CM) doubly in Table 3 page 23 and Table 5 next page, and says no triple zeros are known in this case. | |
| Apr 2, 2011 at 4:27 | comment | added | Junkie | Stein has a paper (link below] where they give data for some weight 4 and 6 vanishings of small level. I thought the conjecture was "finitely many" for weight 6 and infinitely for weight 4, though maybe that is for twists. My recollection is that there is no known example beyond elliptic curves that has a triple vanishing. neil-dummigan.staff.shef.ac.uk/dsw_13.dvi | |
| Apr 2, 2011 at 0:13 | comment | added | GH from MO | David, very interesting! In my comment I only cared about the sign of the functional equation. | |
| Apr 1, 2011 at 23:45 | comment | added | David Hansen | Experimental evidence shows that when the sign is $+1$, vanishing is much more common for weight $2$ than for other weights; I think one or two examples are known for weight $4$, and none for weight $\geq 6$. Perhaps William Stein can confirm this? | |
| Apr 1, 2011 at 23:32 | history | answered | GH from MO | CC BY-SA 2.5 |