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Theorem on the Goldbach Conjecture
Jiamin Li, Jianya Liu
For , we say Proposition holds if every sufficiently large even integer can be written as where is either …
Anisotropic quadratic equations in three variables
Jiamin Li, Jianya Liu
Let be an indefinite anisotropic integral quadratic form with determinant , and a non-zero integer such that is square-free. It is proved in th…
On the error term concerning the number of cyclic subgroups of Z_l \times Z_m \times Z_n with lmn\leqslant x
Jing Ma, Jiaming Li, Jia Zhang
Let Zn denote the additive group of residue classes modulo n. Let c(l,m,n) denote the number of cyclic subgroups of Zl *Zm *Zn. For any x > 1, we consider the asymptotic behavior o…
Three-dimensional exponential sums under constant perturbation
Jiamin Li, Jing Ma
In this paper, by generalizing Bombieri and Iwaniec's double large sieve inequality, we obtain an estimation on a type of three-dimensional exponential sums with constant perturbat…