Resumen de An Explicit Formula and its Application to the Selberg Trace Formula

Muharem Avdispahic, Lejla Smajlovic

• We prove that the explicit formula in a symmetric case for a triple (Z, , F) in Jorgenson-Lang¿s fundamental class of functions holds for a larger class of (not necessarily differentiable or even continuous) test functions. As one of the most important applications, we show that the Selberg trace formula for a strictly hyperbolic cocompact Fuchsian group G is valid for a larger class of test functions. Further applications to growth estimates for the logarithmic derivative of the Selberg zeta function are considered.