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
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Jonathan Borwein
Chair, Computer Science Faculty, 325
Dalhousie University
Halifax, NS BH3 1W5
Canada
e-mail: [email protected]
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Jonathan Borwein
Faculty of Computer Science
Dalhousie University
Halifax, NS BH3 1W5
Canada
e-mail: [email protected]