Dirichlet character

noun — 2 senses

Dirichlet character

noun
1

Analytic number theory, Mathematics, Number theory, Sciences A complex-valued arithmetic function χ:ℤ→ℂ that satisfies the following conditions for some positive integer m and all integers a and b

  • 1) χ(ab)=χ(a)χ(b);
  • 2)
2

3) χ(a+m)=χ(a).

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