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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 |