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滑らかな数の3乗の和について(解析的整数論) [PDF]

, 2006
川田, 浩一
core  

Exceptional Set of Waring-Goldbach Problem with Unequal Powers of Primes

, 2020
Xiaodong Zhao
semanticscholar   +1 more source

Waring–Goldbach problem: Two squares and some higher powers

, 2016
Yingjie Li, Yingchun Cai
semanticscholar   +1 more source

On the Waring–Goldbach problem with small non-integer exponent

, 2003
M. Garaev
semanticscholar   +1 more source

The quadratic Waring–Goldbach problem

, 2004
Jianya Liu, T. Wooley, Gang Yu
semanticscholar   +1 more source

Two results on powers of 2 in Waring–Goldbach problem

, 2011
Zhixin Liu, G. Lü
semanticscholar   +1 more source

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ON THE WARING–GOLDBACH PROBLEM FOR ONE SQUARE, FOUR CUBES AND ONE BIQUADRATE

Bulletin of the Australian Mathematical Society, 2022
Let N be a sufficiently large integer. We prove that, with at most $O(N^{23/48+\varepsilon })$ exceptions, all even positive integers up to N can be represented in the form $p_1^2+p_2^3+p_3^3+p_4^3+p_5^3+p_6^4$ , where $p_1,p_2,p_3,p_4,p_5,p_6$ are
Jinjia Li, Fei Xue, M. Zhang
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The Waring–Goldbach problem for cubes with an almost prime

Proceedings of the London Mathematical Society, 2019
We show that every sufficiently large even integer can be written as the sum of eight cubes, seven of which are cubes of primes, and the remaining one is that of the product of two primes.
K. Kawada, Lilu Zhao
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Slim exceptional sets of Waring-Goldbach problem: two squares, two cubes and two biquadrates

Sbornik: Mathematics
Let $N$ be a sufficiently large number. We show that, with at most $O(N^{3/32+\varepsilon})$ exceptions, all even positive integers not exceeding $N$ can be represented in the form $p_1^2+p_2^2+p_3^3+p_4^3+p_5^4+p_6^4$, where $p_1, p_2, …, p_6$ are prime
Shuangrui Tian
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Exceptional Set in Waring–Goldbach Problem Involving Squares, Cubes and Sixth Powers

, 2021
Let N be a sufficiently large integer. In this paper, it is proved that, with at most O(N 119/270+s) exceptions, all even positive integers up to N can be represented in the form where p1, p2, p3, p4, p5, p6 are prime numbers.
Jinjia Li, M. Zhang, Hao Zhao
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