# Does FE of Selberg Zeta function imply Trace formula?

Does the functional equation of the Selberg Zeta function imply the Selberg trace formula?

BTW, the trace formula implies the functional equation.

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Is that really ture ? –  Chandan Singh Dalawat Oct 18 '12 at 4:14
I am sure it is ture. By taking some special test function in the trace formula we get the functional equation of the Selberg Zeta function. –  7-adic Oct 18 '12 at 5:37