Number Theory

1111 Submissions

[4] viXra:1111.0059 [pdf] submitted on 17 Nov 2011

The New Prime Theorems (1291)-(1340)

Authors: Chun-Xuan Jiang
Comments: 90 pages

Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMA, IAS, THES, MPIM, MSRI. In this paper using Jiang function J2 (ω) we prove that the new prime theorems (1291)-(1340) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution πk(N0,2) ≥ 1. This is the Book theorem.
Category: Number Theory

[3] viXra:1111.0040 [pdf] submitted on 10 Nov 2011

The New Prime Theorems (1241)-(1290)

Authors: Chun-Xuan Jiang
Comments: 90 pages

Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMA, IAS, THES, MPIM, MSRI. In this paper using Jiang function J2 (ω) we prove that the new prime theorems (1241)-(1290) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution πk(N0,2) ≥ 1. This is the Book theorem.
Category: Number Theory

[2] viXra:1111.0038 [pdf] submitted on 10 Nov 2011

On a Strengthened Hardy-Hilbert�s Type Inequality

Authors: Guangsheng Chen
Comments: 8 pages

In this paper, by using the Euler-Maclaurin expansion for the zeta function and estimating the weight function effectively, we derive a strengthenment of a Hardy-Hilbert�s type inequality proved by W.Y. Zhong. As applications, some particular results are considered. work.
Category: Number Theory

[1] viXra:1111.0002 [pdf] submitted on 1 Nov 2011

The New Prime Theorems (1191)-(1240)

Authors: Chun-Xuan Jiang
Comments: 90 Pages.

Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMA, IAS, THES, MPIM, MSRI. In this paper using Jiang function J2 (ω) we prove that the new prime theorems (1191)-(1240) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution πk(N0,2) ≥ 1. This is the Book theorem.
Category: Number Theory