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Aug
11 |
awarded | Commentator |
Aug
11 |
comment |
Explicit Chebotarev and Langlands - irreducibility of X^5-X-1 mod primes
A congruence class is determined by its traces in all representations. So we may need several modular forms, but once we have them we can say "a prime $p$ has Frob in this congruence class if and only if the coefficients have certain values". You might not be satisfied with this answer, and in some ways I'm not either, but this is analogous to what class field theory gives us. |
Aug
10 |
answered | Explicit Chebotarev and Langlands - irreducibility of X^5-X-1 mod primes |
Jul
21 |
answered | Optimal covering and CSPNG |
Jun
4 |
asked | Uniqueness of cohomological holomorphic discrete series representation |
May
10 |
comment |
genus 2 Siegel theta series of 3-dimensional lattices
I think Kudla's conjecture on towers tells you this, but I don't know if this proven. Also, even if there is a kernel on the space of forms, it could still be injective for lattices. Maybe this automorphic approach isn't the right one. |
May
9 |
revised |
genus 2 Siegel theta series of 3-dimensional lattices
Corrected answer: result is massively different from begining due to a misremembered result. |
May
8 |
comment |
genus 2 Siegel theta series of 3-dimensional lattices
No, the composite does produce a Siegel modular form of weight 2. But I don't believe it is the same as the map you wrote down with theta series, as your three dimensional lattices should produce $3/2$ weight Siegel forms. |
May
8 |
comment |
genus 2 Siegel theta series of 3-dimensional lattices
The introduction of the paper explains what is going on with $g$: it is an injection. Because we know that Jacquet-Langlands (or the Shimura correspondence) gives us an injection from $G_0(V)$ to $S_2(\Gamma_0(N)), we can compose these two maps. Unfortunately, I got confused over what you were asking for, and the weight is off: the Saito-Kurakowa lifting involves a product as well, and so is not the same thing as the theta series you are asking for. |
May
7 |
answered | genus 2 Siegel theta series of 3-dimensional lattices |
May
5 |
answered | n torsion groups of quadratic twists of elliptic curves |
Apr
17 |
asked | Noncommutivity of various lifts |
Sep
24 |
awarded | Autobiographer |
Dec
10 |
awarded | Scholar |
Dec
10 |
comment |
Representation-theoretic operations on modular forms
I'm aware AB isn't a eigenform: that's why this question is interesting. Is it an integer combination of eigenforms? It sounds like very little is known in this direction. |
Dec
9 |
awarded | Yearling |
Dec
9 |
awarded | Student |
Dec
9 |
asked | Representation-theoretic operations on modular forms |
Dec
1 |
answered | Are there any fast algorithms for factoring integers that don't work by searching for smooth numbers? |
Nov
28 |
awarded | Critic |