Deyi Chen

most citedPerfect numbers and Fibonacci primes

3 citations · 3 across the 3 of their papers we have counts for

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math.NT2017

Perfect numbers and Fibonacci primes (III)

Hao Zhong, Tianxin Cai

In this article, we consider the Diophantine equation $σ_{2} (n) - n^{2} = A n + B$ with $A = P^{2} \pm 2$ . For some $B$ , we show that except for finitely many computable solutions in the range $n…

math.NT2013★ 3 cited

Perfect numbers and Fibonacci primes

Tianxin Cai, Deyi Chen, Yong Zhang

In this paper, we introduce the concept of $F$ -perfect number, which is a positive integer $n$ such that $\sum_{d ∣ n, d < n} d^{2} = 3 n$ . We prove that all the $F$ -perfect numbers are of th…

math.NT2013

A New Generalization of Fermat's Last Theorem

Tianxin Cai, Deyi Chen, Yong Zhang

In this paper, we consider some hybrid Diophantine equations of addition and multiplication. We first improve a result on new Hilbert-Waring problem. Then we consider the equation…