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 Dec 3 awarded Scholar Dec 3 comment Proving that $\sum_{|j| < n} (n-|j|) \exp(ij\lambda)= \frac{\sin^2(\frac 1 2 n\lambda)}{\sin^2(\frac 1 2 \lambda)}$ Thx Thomas, i did it now your way. Dec 3 accepted Proving that $\sum_{|j| < n} (n-|j|) \exp(ij\lambda)= \frac{\sin^2(\frac 1 2 n\lambda)}{\sin^2(\frac 1 2 \lambda)}$ Dec 3 revised Proving that $\sum_{|j| < n} (n-|j|) \exp(ij\lambda)= \frac{\sin^2(\frac 1 2 n\lambda)}{\sin^2(\frac 1 2 \lambda)}$ added 155 characters in body Dec 3 revised Proofing an inequality with a slowly varying function edited tags Dec 2 comment Proving that $\sum_{|j| < n} (n-|j|) \exp(ij\lambda)= \frac{\sin^2(\frac 1 2 n\lambda)}{\sin^2(\frac 1 2 \lambda)}$ I edited my originial post where i tried to proof it. Or is there an easier way to prove it than i tried it? Dec 2 awarded Supporter Dec 2 comment Proving that $\sum_{|j| < n} (n-|j|) \exp(ij\lambda)= \frac{\sin^2(\frac 1 2 n\lambda)}{\sin^2(\frac 1 2 \lambda)}$ I tried to proof it your way, but failed again... Dec 2 revised Proving that $\sum_{|j| < n} (n-|j|) \exp(ij\lambda)= \frac{\sin^2(\frac 1 2 n\lambda)}{\sin^2(\frac 1 2 \lambda)}$ added 1033 characters in body Nov 30 revised Proving that $\sum_{|j| < n} (n-|j|) \exp(ij\lambda)= \frac{\sin^2(\frac 1 2 n\lambda)}{\sin^2(\frac 1 2 \lambda)}$ added 6 characters in body Nov 30 revised Proving that $\sum_{|j| < n} (n-|j|) \exp(ij\lambda)= \frac{\sin^2(\frac 1 2 n\lambda)}{\sin^2(\frac 1 2 \lambda)}$ edited tags Nov 30 asked Proving that $\sum_{|j| < n} (n-|j|) \exp(ij\lambda)= \frac{\sin^2(\frac 1 2 n\lambda)}{\sin^2(\frac 1 2 \lambda)}$ Nov 26 comment Convergence of a quotient of sequences I am sorry, i forgot an important part of the definition of $p(n)$. I hope it makes now more senses what i did there, because i want to proof it with these conditions. Nov 26 revised Convergence of a quotient of sequences I forgot to put the Minimum in front of the set defining p. Nov 23 comment Convergence of a quotient of sequences I tried to proof this hypothesis in my edit. Nov 23 revised Convergence of a quotient of sequences added 384 characters in body Nov 23 comment Convergence of a quotient of sequences Tank you for your answer. So now i have only to proof that $x(t) \le t(a+\log x(t))$ for some constant $a$. Nov 23 asked Convergence of a quotient of sequences Oct 9 awarded Editor Oct 9 revised Proofing an inequality with a slowly varying function added 13 characters in body