Мақаланы E-mail арқылы жіберу Slim exceptional sets of Waring–Goldbach problem: two squares, two cubes and two biquadrates
- Авторлар: Tian S.1
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Мекемелер:
- Department of Mathematics, Tongji University, Shanghai, P. R. China
- Шығарылым: Том 216, № 1 (2025)
- Беттер: 96-108
- Бөлім: Articles
- URL: https://journals.rcsi.science/0368-8666/article/view/306674
- DOI: https://doi.org/10.4213/sm10001
- ID: 306674
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Аннотация
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 numbers. This is an improvement of the result $O(N^{7/18+\varepsilon})$ due to Zhang and Li.Bibliography: 13 titles.
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Авторлар туралы
Shuangrui Tian
Department of Mathematics, Tongji University, Shanghai, P. R. China
Хат алмасуға жауапты Автор.
Email: tianshuangrui@tongji.edu.cn
PhD, no status
Әдебиет тізімі
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- Min Zhang, Jinjiang Li, “Exceptional set for sums of unlike powers of primes”, Taiwanese J. Math., 22:4 (2018), 779–811
- Min Zhang, Jinjiang Li, “Exceptional set for sums of unlike powers of primes (II)”, Ramanujan J., 55:1 (2021), 131–140
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