3 papers
math.NT2022
Theta Series for Quadratic Forms of Signature with (Spherical) Polynomials II
Christina Roehrig, Sander Zwegers
We generalize the construction from arXiv:2102.09329 of theta series for quadratic forms of signature with homogeneous and spherical polynomials. Namely, we allow that th…
math.NT2021
Siegel theta series for quadratic forms of signature
Christina Roehrig
We investigate Siegel theta series for quadratic forms of signature . On the one hand, we construct a holomorphic series that does not transform like a modular form. On th…
math.NT2021
Theta Series for Quadratic Forms of Signature with (Spherical) Polynomials
Christina Roehrig, Sander Zwegers
We construct almost holomorphic and holomorphic modular forms by considering theta series for quadratic forms of signature . We include homogeneous and spherical polynomia…