An Explicit Formula and its Application to the Selberg Trace Formula

• Autores: Muharem Avdispahic, Lejla Smajlovic
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 147, Nº 3, 2006, págs. 183-198
• Idioma: alemán
• DOI: 10.1007/s00605-005-0317-0
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• Resumen

  • 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.