4 citations · 7 across the 23 of their papers we have counts for
5 papers · 1 filter
Counting the number of solutions to certain infinite Diophantine equations
Nian Hong Zhou, Yalin Sun
Let be positive integers. This paper investigate the number of solutions of the following infinite Diophantine equations $$ n=1^{r}\cdot |k_{1}|^{v}+2^{r}\cd…
On the average sum of the -th divisor function over values of quadratic polynomials
Kostadinka Lapkova, Nian Hong Zhou
Let be a quadratic polynomial in variables with a nonsingular quadratic part. Using the circle method we derive an asymptotic…
Note on partitions into polynomials with number of parts in an arithmetic progression
Nian Hong Zhou
Let be a polynomial with the property that corresponding to every prime there exists an integer such that . In…
Uniform asymptotic formulas of restricted bipartite partitions
Nian Hong Zhou
In this paper, we investigate , the number of partitions of the \emph{bipartite number} into \emph{steadily decreasing} parts, introduced by L.Carlitz ['A problem i…
Uniform asymptotic formulas for the Fourier coefficients of the inverse of theta functions
Zhi-Guo Liu, Nian Hong Zhou
In this paper, we use basic asymptotic analysis to establish some uniform asymptotic formulas for the Fourier coefficients of the inverse of Jacobi theta functions. In particular,…