Dirichlet L-functions

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Dirichlet L-functions

Definitions and Basic Properties

Constraint(s): &
is a Dirichlet character~


Constraint(s):


Constraint(s): hold for all if , and for all () if


Constraint(s): is a primitive character (mod ) for some positive divisor of &
hold for all if , and for all () if


Substitution(s):


Constraint(s): is a primitive character (mod ) &
is the complex conjugate of


Zeros

Constraint(s):


Constraint(s):


Constraint(s): is the principal character~