Multiplication Theorem - Hurwitz Zeta Function

Hurwitz Zeta Function

For the Hurwitz zeta function generalizes the polygamma function to non-integer orders, and thus obeys a very similar multiplication theorem:

where is the Riemann zeta function. This is a special case of

and

Multiplication formulas for the non-principal characters may be given in the form of Dirichlet L-functions.

Read more about this topic:  Multiplication Theorem

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