Abstract
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.
Translated title of the contribution | A light-weight version of Waring's problem |
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Original language | English |
Pages (from-to) | 303 - 316 |
Number of pages | 14 |
Journal | Journal of the Australian Mathematical Society |
Volume | 76 (3) |
Publication status | Published - Jun 2004 |
Bibliographical note
Publisher: Australian Mathematics Publ Assoc LtdKeywords
- Waring's problem
- applications of the Hardy-Littlewood method
- THEOREM