Could anyone help me to show that $\sum {\sin(nz)\over n}$ diverges if $Im(z)\ne 0$?
Thank you
on the series $\sum {\sin(nz)\over n}$
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complex-analysis
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0Check the Dirichlet test. – 2017-02-24
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0Expand the sine for a complex argument. – 2017-02-24