On Moments of |ζ( + It)| in Short Intervals
نویسندگان
چکیده
Power moments of Jk(t, G) = 1 √ πG ∫ ∞ −∞ |ζ( 1 2 + it+ iu)|2ke−(u/G)2 du (t ≍ T, T ε ≤ G ≪ T ), where k is a natural number, are investigated. The results that are obtained are used to show how bounds for ∫ T 0 |ζ( 1 2 + it)|2k dt may be obtained.
منابع مشابه
Some Remarks on the Moments of |ζ( + It)| in Short Intervals
Some new results on power moments of the integral
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