2 papers
math.NT2025
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 fo…
math.NT2025
On Higher-Power Moments of for
Yi Cai, Jinjiang Li, Yankun Sui +2
Let be a fixed real number and \begin{equation*} Î_{a}(x)=\sideset{}{'}\sum_{n\leq x} Ï_a(n)-ζ(1-a)x-\frac{ζ(1+a)}{1+a}x^{1+a}+\frac{1}{2}ζ(-a). \end{equation*} In…