## 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.

**Comments:** recovered from sciprint.org

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### Submission history

[v1] 7 Mar 2008

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