A Gaussian Integer Zeta Sum (Solved)

Summary: Evaluate in closed form $\sum_{m,n}^{'} (m+in)^{-N}$, where the primed sum signifies that (m,n) = (0,0) is excluded.

Classification: Primary, classical analysis; Secondary, sequences and series

Jonathan Borwein
Chair, Computer Science Faculty, 325
Dalhousie University
Halifax, NS BH3 1W5
Canada
e-mail: jborwein@cs.dal.ca

Jonathan Borwein
Faculty of Computer Science
Dalhousie University
Halifax, NS BH3 1W5
Canada
e-mail: jborwein@cs.dal.ca

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