[6] **viXra:1203.0075 [pdf]**
*submitted on 2012-03-19 10:44:15*

**Authors:** Louis D. Grey

**Comments:** 3 Pages.

It is a well known result that for a prime of the form 4k+3, there are more quadratic residues than non-residues in the interval (1,(p-1)/2). Using elementary methods,we provide an asymptotic estimate for the number of residues in the interval.

**Category:** Number Theory

[5] **viXra:1203.0073 [pdf]**
*submitted on 2012-03-19 11:47:19*

**Authors:** Louis D. Grey

**Comments:** Pages. Remove word "louis" after title of paper

We prove a special case of C.L. Siegel's theorem regarding the class number of binary quadratic forms with fundamental discriminant -D<0.

**Category:** Number Theory

[4] **viXra:1203.0064 [pdf]**
*replaced on 2012-04-05 08:25:08*

**Authors:** Ricardo G. Barca

**Comments:** 23 Pages.

Let a (a greater equal than 5042) be an even number such that a is not twice
a prime. Let { p_1, p_2, p_3, ..., p_k } be the ordered set of k primes
less than the square root of a. Every natural number n < a can be
associated with a k-tuple, the elements of which are the remainders of
dividing n by p_1, p_2, p_3, ..., p_k. These k-tuples are classified in
two types: prohibited or permitted, according to the type of the
remainders that form the k-tuple. We prove that if p is a prime number less
than a, therefore if p is not congruent with p_h, for every p_h in { p_1, p_2,
p_3, ..., p_k }, then a-p is a prime or a-p=1. In that case, a permitted
k-tuple is associated with p. We use this fact to prove that every even
number a > 5042 is the sum of two odd primes.

**Category:** Number Theory

[3] **viXra:1203.0060 [pdf]**
*submitted on 2012-03-16 02:45:52*

**Authors:** Chun-Xuan Jiang

**Comments:** 90 Pages. It is the very important paper for number theory

Using Jiang function we prove the new prime theorems(1441)-(1480).

**Category:** Number Theory

[2] **viXra:1203.0050 [pdf]**
*submitted on 2012-03-14 19:21:00*

**Authors:** Chun-Xuan Jiang

**Comments:** 90 Pages.

using Jiang function we prove the new prime theorems(1491)-��1540��

**Category:** Number Theory

[1] **viXra:1203.0019 [pdf]**
*replaced on 2012-03-06 19:53:44*

**Authors:** Chun-Xuan Jiang

**Comments:** 5 Pages.

All eyes are on the Riemann hypothesis,zeta and L-functions ,which are false ,please read this paper.

**Category:** Number Theory