Selberg zeta-function associated to compact Riemann surface is prime

• Ramunas Garunkstis ^[1]
  1. [1] Vilnius University

     Vilnius University

     Lituania

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 62, Nº. 1, 2021, págs. 213-218
• Idioma: inglés
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• Resumen

  • Let Z(s) be the Selberg zeta-function associated to a compact Riemann surface. We consider decompositions Z(s) = f(h(s)), where f and h are meromorphic functions, and show that such decompositions can only be trivial.