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Chitsai Liu's user avatar
Chitsai Liu
  • Member for 14 years, 7 months
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A sum involving roots of unity
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How to prove $\sum_{k=1}^{\frac{p-1}{2}}\frac{(-1)^k}{k}\sum_{i=\lfloor k/2\rfloor +1}^k\frac{1}{2i-1}\equiv 0\pmod{p}$?
@ Professor Amdeberhan: Thank you very much for your great efforts to solve this problem. Thanks also go to Professor Tauraso.
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