$lim_{ntoinfty}frac{sum_{i=1}^ni^{4lambda}}{Big(sum_{i=1}^ni^{2lambda}Big)^2}=0$
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Is it true that $forall lambda>0$ $$lim_{ntoinfty}frac{sum_{i=1}^ni^{4lambda}}{Big(sum_{i=1}^ni^{2lambda}Big)^2}=0$$ I cannot find a way to prove it, nor can I find a counterexample. Any help is greatly appreciated!
limits sums-of-squares gauss-sums
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asked Dec 15 '18 at 15:07
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