Nonexistence of two classes of generalized bent functions

We obtain some new nonexistence results of generalized bent functions from $${\mathbb {Z}}^n_q$$Zqn to $${\mathbb {Z}}_q$$Zq (called type [n, q]) in the case that there exist cyclotomic integers in $$ {\mathbb {Z}}[\zeta _{q}]$$Z[ζq] with absolute value $

在\({\mathbb{Z}}[\zeta _{q}]\)中存在绝对值为（此处似乎不完整）的分圆整数的情况下，我们得到了从\({\mathbb{Z}}^n_q\)到\({\mathbb{Z}}_q\)（称为[n, q]型）的广义Bent函数的一些新的不存在性结果。