Quadratic forms and their theta series - infinitesimal aspects

Details Quadratic forms and their theta series - infinitesimal aspects Quadratic forms and their theta series - infinitesimal aspects

2011-06-24

arxiv.org/abs/1106.4895v1

Mathematics

Number Theory

11 pages

Scientific paper

We study the theta map which assigns to a real quadratic form its theta
series. We introduce two invariants reflecting whether the differential of the
theta map vanishes or is degenerate. We provide examples of lattices where this
differential is zero. These invariants turn out to be modular forms for
integral lattices. We illustrate this in the rank two case.

Affiliated with

Also associated with

No associations

Rating

Quadratic forms and their theta series - infinitesimal aspects does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quadratic forms and their theta series - infinitesimal aspects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quadratic forms and their theta series - infinitesimal aspects will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-393722