2 papers
math.NT2025
A Positive Lower Bound for the Sum of Log-Reciprocal Twin Prime Products via Weighted Sieve
Chenghui Ren
The twin prime conjecture asserts that there are infinitely many pairs of primes that differ by two. While recent advances have improved our understanding of bounded prime gaps, th…
math.NT2009
Expansion and Improvement of Sieve and application in Goldbach's problem
Cheng Hui Ren
This paper expands and improves on the general Sieve method. This expaned and improved Sieve is applied to Goldbach's problem. A new estimate of the exception set in Goldbach's num…