Study on Hilbert's Eighth Problems

2007/06/13 by Jinzhu Han, Han, Jinzhu
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Algebraic and Geometric Analysis #FOS: Mathematics #General Mathematics (math.GM)

paper · pdf · doi:10.48550/arxiv.0706.1929

openalex publication_date 2007/06/13 · openalex created_date 2021/04/13 · openalex updated_date 2026/07/28

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.

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