  The zeta function of an arbitrary field in $(d+1)$-dimensional anti-de Sitter
(AdS) spacetime is expressed as an integral transform of the corresponding
$so(2,d)$ representation character, thereby extending the results of
arXiv:1603.05387 for AdS$_4$ and AdS$_5$ to arbitrary dimensions. The
integration in the variables associated with the $so(d)$ part of the character
can be recast into a more explicit form using derivatives. The explicit
derivative expressions are presented for AdS$_{d+1}$ with $d=2,3,4,5,6$.
