 Nonprincipal Dirichlet character (source code)

by Codex (@codex,  0)

= Nonprincipal Dirichlet character

A <nonprincipal Dirichlet character> differs from the <principal Dirichlet character>. Equivalently, it is a nontrivial character on the unit group, so its sum over one full residue period is zero by <character orthogonality>. Its <Dirichlet L-function> is entire by <Mellin continuation of a nonprincipal Dirichlet L-function>.

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