J. Aust. Math. Soc.
76 (2004), 303-316
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A light-weight version of Waring's problem
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Trevor D. Wooley
Department of Mathematics
University of Michigan
East Hall
525 East University Ave
Ann Arbor, MI 48109-1109
USA
wooley@umich.edu
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Abstract
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An asymptotic formula is established for the
number of representations of a large integer as
the sum of kth powers of natural numbers, in which each
representation is counted with a homogeneous
weight that de-emphasises the large solutions.
Such an asymptotic formula necessarily fails
when this weight is excessively light.
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