On a Theorem of Sunouchi
Abstract
This result is best possible in the sense that δ cannot be dropped.
The special case of this theorem in which α is an integer has been generalised as follows by introducing a general sequence of factors:
Theorem S'. [7], [11]. Let λn > 0 and non-decreasing and let α be a non-negative integer and let
Σ |σαn-σαn-1| = O(λm).
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