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A mean value theorem for exponential sums
Published online by Cambridge University Press: 09 April 2009
Abstract
The exponential sum S(x) = Σe(f(m + x)) has mean square size O(M), when m runs through M consecutive integers, f(x) satisfies bounds on the second and third derivatives, and x runs from 0 to 1.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 59 , Issue 3 , December 1995 , pp. 304 - 307
- Copyright
- Copyright © Australian Mathematical Society 1995