2 papers
math.NT2022
A Corrected Simplified Proof of Chen's Theorem
Zihao Liu
In 1973, J.-R. Chen showed that every large even integer is a sum of a prime and a product of at most two primes. In this paper, the author indicates and fixes the issues in a simp…
math.NT2022
A Simple Proof of Siegel's Theorem Using Mellin Transform
Zihao Liu
In this paper, we present a simple analytic proof of Siegel's theorem that concerns the lower bound of for primitive quadratic . Our new method compares an elementary l…