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Miklós Schweitzer 1954- Problem 2

Source: Miklós Schweitzer 1954- Problem 2

August 3, 2015
seriesSequencescollege contests

Problem Statement

2. Show that the series
∑n=1∞1nsin(asin(2nπN))ebcos(2nπN)\sum_{n=1}^{\infty}\frac{1}{n}sin(asin(\frac{2n\pi}{N}))e^{bcos(\frac{2n\pi}{N})}
is convergent for every positive integer N and any real numbers a and b. (S. 25)
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