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Let $\chi$ be the trivial Dirichlet character mod $N$. What is the primitive Dirichlet character associated to $\chi$? Is it just the character on $\mathbb{Z}$ that sends all integers to 1?

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Yes, exactly. :)

Here are more characters to meet the minimum.

  • 1
    ...and its Dirichlet generating function is that famous function of Riemann...2011-12-08
  • 2
    "more characters..." - was that a pun?2011-12-08
  • 0
    "That would be telling..."2011-12-08
  • 0
    @Gerry ... to trigger the software... :)2011-12-08
  • 0
    Maaaaan.... this software situation is not ... useful... Sorry if my responses are [obstructed-by] ...2011-12-08