Value-distribution of the Lerch zeta-function with algebraic irrational parameter. I

• Autores: V. Garbaliauskiene, D. Geniene, Antanas Laurincikas
• Localización: Lithuanian mathematical journal, ISSN 0363-1672, Vol. 47, Nº. 2, 2007, págs. 135-146
• Idioma: inglés
• DOI: 10.1007/s10986-007-0010-1
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• Resumen

  • We prove a limit theorem in the sense of weak convergence of probability measures on the complex plane for the Lerch zeta-function with algebraic irrational parameter. The limit measure in this theorem is explicitly given.