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On a Waring–Goldbach-type problem for fourth powers

✍ Scribed by Xiumin Ren; Kai-Man Tsang


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
281 KB
Volume
108
Category
Article
ISSN
0022-314X

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✦ Synopsis


In this paper, we prove that every sufficiently large positive integer satisfying some necessary congruence conditions can be represented by the sum of a fourth power of integer and twelve fourth powers of prime numbers.


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Let i(G) (i(G), respectively) be the independent domination number (i.e. smallest cardinality of a maximal independent vertex subset) of the p-vertex graph G (the complement G of G, respectively). We prove limp~[max~ i(G)i(Cr)/p 2] = 1/16.