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visits | member for | 5 years |
seen | May 26 at 2:52 | |
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Graduate student at UC Berkeley.
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 |
Nov 26 |
awarded | Citizen Patrol |
Nov 26 |
answered | Is there adequate test statistics for the outlier in the set of data |
Oct 14 |
comment |
Rational points or a Weierstrass model for degree 8 elliptic curve
It might help if you explain where this equation comes from. This doesn't look like an elliptic curve but some sort of parametrization where fibers are curves. Maybe take some fibers and see how they work? Also, assuming Birch and Swinnerton-Dyer you can do calculations over finite fields to help create bounds on rank. |
Jun 22 |
answered | Does Godel's incompleteness theorem admit a converse? |
Jan 29 |
answered | Concentration bounds for sums of random variables of permutations |