On a mean-value theorem concerning differences of two $K$-th powers
نویسندگان
چکیده
منابع مشابه
Sums and Differences of Three k-th Powers
If k ≥ 2 is a positive integer the number of representations of a positive integer N as either x1 + x k 2 = N or x k 1 − x2 = N , with integers x1 and x2, is finite. Moreover it is easily shown to be Oε(N), for any ε > 0. It is known that if k = 2 or 3 then the number of representations is unbounded as N varies, but it is conjectured that the number of representations is bounded for k ≥ 4. Inde...
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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 1989
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496161005