2 citations · 3 across the 6 of their papers we have counts for
6 papers
Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products
Zhenming Tang, Hao Zhong
This paper investigates high-order congruences of reciprocal power sums and Lehmer-type products. Let with and . For the reciprocal square sums…
A Generalization of A Result of Gauss on Primitive Root
Hao Zhong, Tianxin Cai
A primitive root modulo an integer is the generator of the multiplicative group of integers modulo . Gauss proved that for any prime number greater than , the sum of…
Bijections between t-Core Partitions and t-Tuples
Hao Zhong
This note introduces some bijections relating core partitions and tuples of integers. We apply these bijections to count the number of cores with various types of restriction, incl…
On the number of representations of with a multiple of a polygonal number
Hao Zhong, Tianxin Cai
In this paper, we study the number of representations of a positive integer by two positive integers whose product is a multiple of a polygonal number.
A congruence involving the quotients of Euler and its applications (III)
Hao Zhong, Shane Chern, Tianxin Cai
In this paper, we will present several new congruences involving binomial coefficients under integer moduli, which are the continuation of the previous two work by Cai \textit{et a…
On the Lucas Property of Linear Recurrent Sequences
Hao Zhong, Tianxin Cai
We say that an arithmetical function has Lucas property if for any prime , \begin{equation*} S(n)\equiv S(n_{0})S(n_{1})\ldots S(n_{r})\pmod…