[5] **viXra:1110.0054 [pdf]**
*submitted on 18 Oct 2011*

**Authors:** Thomas Evans

**Comments:** 9 pages

Presented is a new determination of conditions proving the Riemann
Hypothesis of any global L-function, drawing heavily on conceptual and mathematical
parallels from quantum theory, specifically those summarized by Bohm in his 1951 text.
We present a proof of this for a special case concerning the function ζ(s) , defined by
Riemann in his seminal 1859 paper, "On the number of primes less than a given number".
A new method of defining a system of inverted concatenations at the simple pole(s) of a
global L-function is introduced and used to finalize our proof.

**Category:** Number Theory

[4] **viXra:1110.0051 [pdf]**
*replaced on 4 Nov 2011*

**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, CLAYMI, IAS, THES, MPIM, MSRI. In this paper using Jiang function we prove
that the new prime theorems (1141)-(1190) contain infinitely many prime solutions and no prime
solutions. From (6) we are able to find the smallest solution. This is the Book
theorem.

**Category:** Number Theory

[3] **viXra:1110.0045 [pdf]**
*submitted on 14 Oct 2011*

**Authors:** Prateek Goel

**Comments:** 6 pages.

Relationship between irrational constants Phi and e (including new equations, possible implications)

**Category:** Number Theory

[2] **viXra:1110.0041 [pdf]**
*submitted on 13 Oct 2011*

**Authors:** Jose Javier Garcia Moreta

**Comments:** 7 pages

We study the sums (see paper) evaluated over the
zeros and the imaginary part of the zeros of the Riemann Zeta function
by two methods, the first method involves the use of the Hadamard
product formula for the Riemann Xi-function, the second one uses the
Riemann-Weill explicit formula , which relates a sum over the imaginary
part of the zeros with another sum over prime numbers , we have
managed to prove that the sum (see paper)

**Category:** Number Theory

[1] **viXra:1110.0032 [pdf]**
*replaced on 3 Nov 2011*

**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, CLAYMI, IAS, THES, MPIM, MSRI. In this paper using Jiang function we prove
that the new prime theorems (1091)-(1140) contain infinitely many prime solutions and no prime
solutions. From (6) we are able to find the smallest solution. This is the Book
theorem.

**Category:** Number Theory