# Frank Patane

Affiliation: Samford University

Email: frankpatane@ufl.edu

Title Of Talk: An Identity Connecting Theta Series Associated with Binary Quadratic Forms of Discriminant $\Delta$ and $\Delta\,p^2$.

Abstract: We give an identity which connects the theta series associated to a single binary quadratic form of discriminant $\Delta$, to a theta series associated to a subset of binary quadratic forms of discriminant $\Delta\,p^2$. We then give an illustrative example to show how one can use this identity to derive a Lambert series decomposition in certain cases.