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| ON A PROBLEM OF SUMS OF MIXED POWERS (II) |
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Citation： |
Lu Minggao,Yu Gang.ON A PROBLEM OF SUMS OF MIXED POWERS (II)[J].Chinese Annals of Mathematics B,1997,18(2):243~248 |
| Page view： 956
Net amount： 828 |
Authors： |
Lu Minggao; Yu Gang |
Foundation： |
Project supported by the National Natural Science
Foundation of China (Tian Yuan Found) |
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| Abstract： |
Let $R_{b,c}(n)$ denote the number of representations of $n$ as the sum
of one square, four cubes, one $b$-th power and one $c$-th power of natural
numbers. It is shown that if $b=4$, $4\le c\le 35$, or $b=5, 5\le c\le 13$,
or $b=6, 6\le c\le 9$, or $b=c=7$, then $R_{b,c}(n)\gg n^{5/6+1/b+1/c}$
for all sufficiently large $n$. |
Keywords： |
Mixed power, Warings problem and variants, Asymptotic formulae |
Classification： |
11A |
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