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On the Fourth Power Moment of the Error Term for the Divisor Problem with Congruence Conditions
Jinjiang Li, Min Zhang
Let denote the number of factorizations , where each of the factors belongs to a prescribed congruence class $\ell_i\bmod…
Waring-Goldbach Problem: One Square, Four Cubes and Higher Powers
Jinjiang Li, Min Zhang
Let denote an almost-prime with at most prime factors, counted according to multiplicity. In this paper, it is proved that, for and…
A Remark on the Piatetski-Shapiro-Hua Theorem
Jinjiang Li, Min Zhang
In this paper, we prove that for any fixed , every sufficiently large satisfying can be represented as five squares of primes with o…
On the Waring-Goldbach Problem for One Square and Five Cubes
Jinjiang Li, Min Zhang
Let denote an almost-prime with at most prime factors, counted according to multiplicity. In this paper, it is proved that for every sufficiently large even int…
On the Distribution of Cube-Free Numbers with the Form
Min Zhang, Jinjiang Li
In this paper, we proved that there are infinite cube--free numbers of the form for any fixed real number .
On the Fourth Power Moment of Fourier Coefficients of Cusp Form
Jinjiang Li, Panwang Wang, Min Zhang
Let be the Fourier coefficients of a holomorphic cusp form of weight for the full modular group and . In this paper, w…