Problem 1615 (difficulty: 7/10)

Show that if \(\displaystyle f\) is a double peridodic entire function (i.e. \(\displaystyle f(z+a)=f(z), f(z+b)=f(z)\) where \(\displaystyle a\) and \(\displaystyle b\) are linearly independent over \(\displaystyle \Q\), then \(\displaystyle f\) is constant.

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