6 citations · 10 across the 8 of their papers we have counts for
9 papers
Explicit estimates on prime numbers
Yuanyou Cheng, Glenn J. Fox, Mehdi Hassani
This submission has been withdrawn by arXiv admins due to fraudulent affiliation claims by the original submitter.
Further Estimates with Pseudogamma functions
Yuanyou Cheng, Gongbao Li, Juping Wang
The pseudo-Gamma function is a key tool introduced recently by Cheng and Albeverio in the proof of \break the density hypothesis. This function is doubly symmetric, which means tha…
Determining Mills' Constant and a Note on Honaker's Problem
Chris K. Caldwell, Yuanyou Furui Cheng
In 1947 Mills proved that there exists a constant such that is a prime for every positive integer . Determining requires determining an effecti…
Proof of the strong Linderlof hypothesis
Yuanyou Cheng
The Riemann zeta-function is a meromorphic complex-valued function of the complex variable with the unique pole at . It plays a central role in the studies of prime…
Analytic implication from the prime number theorem
Yuanyou Cheng, Glenn Fox, Mehdi Hassani
Let . The -form of the prime number theorem is $ψ(x) =\sum\sb{n \le x}Λ(n) =x +O\bigl(x\sp{1-H(x)} \log\sp{2} x\big)$, where is a certain function of with $0<…
Analytic implications from the remainder term of the prime number theorem
Yuan-You Fu-Rui Cheng
It is well known that the distribution of the prime numbers plays a central role in number theory. It has been known, since Riemann's memoir in 1860, that the distribution of prime…