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math.NT2024
On Waring-Goldbach problem for one square and seventeen fifth powers of primes
Min Zhang, Jinjiang Li, Fei Xue
In this paper, it is established that every sufficiently large positive integer subject to can be represented as a sum of one square of prime and seventeen fif…
math.NT2023
On Chen's theorem over Piatetski-Shapiro type primes and almost-primes
Jinjiang Li, Fei Xue, Min Zhang
In this paper, we establish a new mean value theorem of Bombieri-Vinogradov type over Piatetski-Shapiro sequence. Namely, it is proved that for any given constant and any suf…
math.NT2016
On the Sum of Divisors of Mixed Powers
Jinjiang Li, Min Zhang
Let denote the Dirichlet divisor function. Define \begin{equation*} \mathcal{S}_{k}(x)=\sum_{\substack{1\leqslant n_1,n_2,n_3 \leqslant x^{1/2} \\ 1\leqslant n_4\leqslant x^…