Arul Shankar, Artane Siad, Ashvin Swaminathan, Ila Varma
Published 2021-10-18, updated 2022-06-22Version 2
In this article, we develop new methods for counting integral orbits having bounded invariants that lie inside the cusps of fundamental domains for coregular representations. We illustrate these methods for a representation of cardinal interest in number theory, namely that of the split orthogonal group acting on the space of quadratic forms.
On the zeros of certain Poincaré series for $Γ_0^*(2)$ and $Γ_0^*(3)$
On the zeros of Eisenstein series for $Γ_0^* (2)$ and $Γ_0^* (3)$
On the zeros of Eisenstein series for $Γ_0^* (5)$ and $Γ_0^* (7)$
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