On the Mean Value of the Index of Composition of an Integer

• Autores: Jean-Marie De Koninck, Imre Kátai
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 145, Nº 2, 2005, págs. 131-144
• Idioma: inglés
• DOI: 10.1007/s00605-004-0288-6
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• Resumen

  • For each integer n 2, let be the index of composition of n, where . For convenience, we write (1)=(1)=1. We obtain sharp estimates for and , as well as for and . Finally we study the sum of running over shifted primes.