The Journal of the Indian Mathematical Society

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On Waring's Problem for Smaller Powers


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1 Andhra University, India
     

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In a manuscript, L. K. Hua has proved, among other things, that

G(5) ≤ 24, G(6) ≤ 37 and G(7) ≤ 53,

these being improvements on my results. Before the receipt of Hua's manuscript, I had pointed out that G(5) ≤ 24. The main lemma of Hua's argument is aimed at improving the lower limits for Hs,k(N), the number of integers less than N and expressible as the sum of s positive kth powers.


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  • On Waring's Problem for Smaller Powers

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Authors

K. Sambasiva Rao
Andhra University, India

Abstract


In a manuscript, L. K. Hua has proved, among other things, that

G(5) ≤ 24, G(6) ≤ 37 and G(7) ≤ 53,

these being improvements on my results. Before the receipt of Hua's manuscript, I had pointed out that G(5) ≤ 24. The main lemma of Hua's argument is aimed at improving the lower limits for Hs,k(N), the number of integers less than N and expressible as the sum of s positive kth powers.