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On hypothesis K for biquadrates
Authors:C Hooley
Institution:(1) School of Mathematics, University of Wales, Senghennydd Road, Cardiff CF24 YH Wales, UK
Abstract:It is proved that the number of ways of expressing a large positive integern as the sum of four biquadrates is

$$O\left {\frac{{n^{1/2} (\log \log n)^8 }}{{\log n}}} \right]$$
Keywords:Biquadrates  Waring’  s problem
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