An explicit construction of non-tempered cusp forms on $O(1,8n+1)$

Yingkun Li, Hiro-aki Narita, Ameya Pitale

We explicitly construct cusp forms on the orthogonal group of signature $(1,8n+1)$ for an arbitrary natural number $n$ as liftings from Maass cusp forms of level one. In our previo…