| On Some Power Sum Problems of Montgomery and Turan (2008) | |||||||||||||
Abstract | |||||||||||||
| We use an estimate for character sums over finite fields of Katz to solve open problems of Montgomery and Turán. Let h ⩾ 2 be an integer. We prove that This gives the right order of magnitude for the quantity and improves on a bound of Erdős–Renyi by a factor of the order . | |||||||||||||
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