Mn. Huxley, A MEAN-VALUE THEOREM FOR EXPONENTIAL-SUMS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 59, 1995, pp. 304-307
Citations number
2
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
The exponential sum S(x) = Sigma e(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.