Results 61 to 70 of about 11,421,197 (96)

On the Waring–Goldbach problem for squares, cubes and higher powers

The Ramanujan journal, 2020
Let Pr\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {P}_r ...
Min Zhang, Jinjia Li
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On a Waring-Goldbach problem involving squares and cubes

Mathematica Slovaca, 2019
Let R(n) denote the number of representations of a natural number n as the sum of two squares and four cubes of primes. In this paper, it is proved that the anticipated asymptotic formula for R(n) fails for at most O(N14+ε) $\begin{array}{}O(N^{\frac{1 ...
Yuhui Liu
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Waring-Goldbach Problem for Unlike Powers

Chinese Annals of Mathematics. Series B, 2019
In this paper, the authors investigate exceptional sets in the Waring-Goldbach problem for unlike powers. For example, estimates are obtained for sufficiently large integers below a parameter subject to the necessary local conditions that do not have a ...
Zhenzhen Feng, Jing Ma
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On exceptional sets in the Waring–Goldbach problem for fifth powers

The Ramanujan journal, 2022
Gongrui Chen
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Two results on unlike powers of primes and powers of 2 in the Waring–Goldbach problem

The Ramanujan journal, 2023
Liqun Hu
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Exceptional sets in Waring-Goldbach problem for fifth powers

Frontiers of Mathematics in China, 2021
Zhenzhen Feng, Zhixin Liu
semanticscholar   +1 more source

On Waring–Goldbach problem for two squares and five biquadrates

Indian journal of pure and applied mathematics, 2023
Jinjia Li, Li Long, M. Zhang
semanticscholar   +1 more source

On exceptional sets of biquadratic Waring-Goldbach problem

Journal of Number Theory, 2020
Zhenzhen Feng, Zhixin Liu, Jing Ma
semanticscholar   +1 more source

Waring–Goldbach problem involving cubes of primes

Mathematische Zeitschrift, 2020
T. Ching, K. Tsang
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On the Waring–Goldbach problem for fourth and sixth powers

, 2014
Lilu Zhao
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