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EulerPhi[1]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg9858] EulerPhi[1]
  • From: Frank Seaton Taylor <prime at vt.edu>
  • Date: Sat, 29 Nov 1997 00:10:50 -0500
  • Organization: Virginia Tech, Blacksburg, Virginia
  • Sender: owner-wri-mathgroup at wolfram.com

Here's a problem I've recently discovered with Mathematica 3.0.

In Mathematica 2.0:

  Mathematica 2.0 for NeXT
  Copyright 1988-91 Wolfram Research, Inc.
   -- NeXT graphics initialized -- 

  In[1]:= EulerPhi[1]

  Out[1]= 1

In Mathematica 3.0:

  Mathematica 3.0 for Solaris
  Copyright 1988-96 Wolfram Research, Inc.
   -- Terminal graphics initialized -- 

  In[1]:= EulerPhi[1]

  Out[1]= 0


My number theory text (Ireland and Rosen) defines it to EulerPhi[1] to  
be 1. This is consistent with the idea that EulerPhi[n] should be the  
number of primitive nth roots of unity.


Cheers,
-- knarF


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