Jiang Number Theory (JNT)

Authors: Laurent Schadeck

Jiang Chun-Xuan2 is a Chinese mathematician who claims to have developed new number theoretic tools consisting mostly in the Jiang function Jn (s #) where s # 2.3.5...p, p n denotes the primorial function to solve fundamental problems in Number Theory such as the Goldbach Conjecture, the Twin Prime Conjecture, the k-tuple Conjecture, and some other 600 basic prime number theorems. The fundamental motivation of Jiang to develop a number theory different from the one we are familiar with (we, number theorists) comes from his recent claim (1997) that the Riemann Hypothesis (RH) which lies at the foundations of all prime number theories, is false, that all calculations done to improve it are misunderstood, and that the entire speculative theory done through it (see Connes, Bombieri, Zagier et al.) are eventually uncertain.3 Our goal in this paper will be to review Jiang's achievements from his disproof of RH to his establishment of the new number theory.

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[v1] 7 Mar 2008

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