Study on Hilbert's Eighth Problems

TL;DR

This paper claims to have proved several longstanding conjectures in number theory, including the Riemann Hypothesis, Goldbach Conjecture, and Twin Prime Conjecture, by improving sieve methods and the prime number theorem.

Contribution

It introduces an improved sieve method based on the principle of sieve function transformation and claims to have proved multiple major conjectures, including Hilbert's eighth problem.

Findings

Proved the Riemann Hypothesis.

Validated Goldbach and Twin Prime Conjectures.

Enhanced sieve methods for prime number analysis.

Abstract

In this paper, we used the principle of sieve function transformation to improve sieve method and the prime number theorem in the arithmetic sequence.For this, we proved General Riemann Hypothesis and Riemann Hypothesis to be true. further, we improved Selberg's line sieve method and proved Goldbach Conjecture and Twin Prime Conjecture to be true. However, we basically solved Hilbert's eighth problems.