1 citations · 4 across the 38 of their papers we have counts for
40 papers
On Piatetski-Shapiro primes from almost primes
Yuhua Zhao, Jinjiang Li, Linji Long +1
Denote by an almost-prime with at most prime factors, counted according to multiplicity. In this manuscript, it is established that, for any fixed …
On the quadratic Waring-Goldbach problem with primes in Piatetski-Shapiro sets
Meng Gao, Jinjiang Li, Linji Long +1
In this paper, it is proved that, for any , every sufficiently large integer subject to can be represented as the s…
Cubic Waring-Goldbach problem with Piatetski-Shapiro primes
Linji Long, Jinjiang Li, Min Zhang +1
In this paper, it is proved that, for , every sufficiently large odd integer can be written as the sum of nine cubes of primes, each of which is of the for…
Vinogradov's three primes theorem in the intersection of multiple Piatetski-Shapiro sets
Xiaotian Li, Jinjiang Li, Min Zhang
Vinogradov's three primes theorem indicates that, for every sufficiently large odd integer , the equation is solvable in prime variables . In this p…
On Higher-Power Moments of for
Yi Cai, Jinjiang Li, Yankun Sui +2
Let be a fixed real number and \begin{equation*} Δ_{a}(x)=\sideset{}{'}\sum_{n\leq x} σ_a(n)-ζ(1-a)x-\frac{ζ(1+a)}{1+a}x^{1+a}+\frac{1}{2}ζ(-a). \end{equation*} In this…
On the mean square of the error term for the asymmetric two-dimensional divisor problem with congruence conditions
Zhen Guo, Jinjiang Li, Linji Long +1
Suppose that and are positive integers subject to . For , denote by the asymmetric two--dimensional divisor funct…