JIPAM

On an Inequality Related to the Legendre Totient Function  
 
  Authors: Pentti Haukkanen,  
  Keywords: Legendre totient function, Inequality, Regular convolution, Unitary convolution.  
  Date Received: 06/02/02  
  Date Accepted: 27/02/02  
  Subject Codes:

11A25

  
  Editors: Jozsef Sandor,  
 
  Abstract:

Let $Delta(x, n)=varphi(x, n)-xvarphi(n)/n$, where $varphi(x, n)$ is the Legendre totient function and $varphi(n)$ is the Euler totient function. An inequality for $Delta(x, n)$ is known. In this paper we give a unitary analogue of this inequality, and more generally we give this inequality in the setting of regular convolutions.;


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