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Date: 27-11-2019
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Date: 9-8-2020
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Date: 18-12-2020
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A number theoretic character, also called a Dirichlet character (because Dirichlet first introduced them in his famous proof that every arithmetic progression with relatively prime initial term and common difference contains infinitely many primes), modulo is a complex function
for positive integer
such that
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(1) |
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(2) |
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(3) |
for all , and
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(4) |
if .
can only assume values which are
roots of unity, where
is the totient function.
Number theoretic characters are implemented in the Wolfram Language as DirichletCharacter[k, j, n], where is the modulus and
is the index.
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