Document Zbl 1121.11312

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Ren, Xiumin; Tsang, Kaiman

Waring-Goldbach problem for unlike powers. II. (Chinese. English summary) Zbl 1121.11312

Acta Math. Sin., Chin. Ser. 50, No. 1, 175-182 (2007).

Summary: In this paper, we are concerned with Waring-Goldbach problems for unlike powers. It is proved that with at most \(O(N^{{47\over48}+\varepsilon})\) exceptions, all even positive integers up to \(N\) are expressible in the form \(p^2_2+p^3_3+p^4_4+p^5_5\).

Cited in 1 Review

Cited in 6 Documents

MSC:

11P32	Goldbach-type theorems; other additive questions involving primes
11P05	Waring’s problem and variants
11P55	Applications of the Hardy-Littlewood method

Keywords:

Waring-Goldbach problem; circle method; exceptional set

Citations:

Zbl 1128.11043

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