2,645 reputation
1925
bio website
location
age
visits member for 4 years, 5 months
seen 6 hours ago

Sep
25
comment Recursions for some binary theta series in characteristic 3
Thanks Noam for your simple elegant argument. I wonder if there might be other recursions of this sort for the mod-ell reductions of principal binary theta-series in an "ell-tower".
Sep
25
accepted Recursions for some binary theta series in characteristic 3
Sep
24
revised Recursions for some binary theta series in characteristic 3
Proof given of a (weak) partial result.
Sep
24
comment Recursions for some binary theta series in characteristic 3
Thanks Gerry. It looks fine to me.
Sep
23
revised Recursions for some binary theta series in characteristic 3
Possibly relevant reference added.
Sep
23
comment Recursions for some binary theta series in characteristic 3
@Gerry Myerson. I mean A^(3*s)
Sep
22
asked Recursions for some binary theta series in characteristic 3
Sep
1
awarded  Nice Question
Jul
2
awarded  Curious
Jun
3
revised The “Level N modular equation for delta” in characteristics 3, 5, 7 and 13
unnecessary edit removed
Jun
3
comment The “Level N modular equation for delta” in characteristics 3, 5, 7 and 13
The edit to my answer was entirely unnecessary, (and I'll get rid of it); the original argument given in the edit to the question was fine. The point that I should have gathered from Anna M. is that the kth elementary symmetric function in the delta((z+i)/p) and (p^12)*delta(pz) is a weight 12k modular form of level 1. And then of course, for our particular ell, the reduction of its expansion is a polynomial of degree at most k in F.
May
25
revised The “Level N modular equation for delta” in characteristics 3, 5, 7 and 13
typo corrected
May
25
revised The “Level N modular equation for delta” in characteristics 3, 5, 7 and 13
I've fixed a gap in a proof contained in my edits to the question.
May
20
awarded  Yearling
Apr
2
answered The “Level N modular equation for delta” in characteristics 3, 5, 7 and 13
Feb
11
revised The “Level N modular equation for delta” in characteristics 3, 5, 7 and 13
A conjectural formula for the highest degree part of H_N is given.
Jan
24
revised Questions (related to deformation theory?) about modular ideals in mod ell Hecke algebras
References given to answers to some of my questions. An error corrected.
Jan
21
revised Questions (related to deformation theory?) about modular ideals in mod ell Hecke algebras
Empirical results in level 1 and characteristics 5,7 and 13 are given. Typo corrected.
Jan
16
comment The “Level N modular equation for delta” in characteristics 3, 5, 7 and 13
Just so, Anna. And here's how I got the level 2 characteristic 11 equation for delta. jdelta=(E_4)^3, while (j-1728)*delta=(E_6)^2. So ((jj*(j-1728)^3)*delta^5 =(E_10)^6, which is 1 mod 11. Combine this equation, the corresponding equation with j(z) and delta(z) replaced by j(2z) and delta(2z), and the characteristic 11 equation linking j(z) and j(2z), and eliminating j(z) and j(2z) you get, mod 11, a degree 30 equation linking (delta(z))^5 and (delta(2z))^5, which then gives the relation I mentioned. Experiment convinced me that it's irreducible.
Jan
13
awarded  Nice Question