|
Academia Arena
学术争鸣
ISSN 1553-992X (print); ISSN
2158-771X (online),
doi:10.7537/marsaaj, Monthly
Volume 8 - Special
Issue 2 (Supplement Issue 2), April
25, 2016
Cover
Page, Introduction, Contents, Call for
Papers, All papers in one file
For Microsoft Document (doc file): After you open the "Full
Text" for each article, change the last 3 characters of the web
address from .pdf to .doc (or docx)
Welcome to send your manuscript(s) to:
editor@sciencepub.net.
CONTENTS
|
No. |
Titles /
Authors /Abstracts |
Full Text |
No. |
|
1 |
New prime  -tuple
theorems(1)
 and 
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jinag funciton we
prove that there exist infinitely many primes  and  such
that each of  is
prime and there exist infinitely many primes and such
that each of  is
prime.
[Chun-Xuan, Jiang.
New prime -tuple
theorems(1)and .
Academ Arena
2016;8(2s): 1-2]. (ISSN 1553-992X).
http://www.sciencepub.net/academia.
1. doi:
doi:10.7537/marsaaj0802s16.01
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number; function |
Full Text |
1 |
|
2 |
New prime k-tuple
theorem（2）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we
prove that for every positive integer k there
exist infinitely many primes  such
that each of  is
prime.
[Chun-Xuan Jiang.
New prime k-tuple
theorem（2）.
Academ Arena
2016;8(2s): 3-4]. (ISSN 1553-992X).
http://www.sciencepub.net/academia.
2.
doi:10.7537/marsaaj0802s16.02
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number; function |
Full Text |
2 |
|
3 |
New prime K-tuple theorem (3)
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we prove that for every positive
integer  there
exist infinitely many primes such
that each of  is
prime.
[Chun-Xuan, Jiang. New prime K-tuple
theorem (3).
Academ Arena 2016;8(2s):
5-5].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
3.
doi:10.7537/marsaaj0802s16.03
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number; function |
Full Text |
3 |
|
4 |
New prime K-tuple theorem (4)
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we prove that for every positive
integer there
exist infinitely many primes such
that each of  is
prime.
[Chun-Xuan, Jiang. New prime K-tuple
theorem (4).
Academ Arena 2016;8(2s):
6-6].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
4.
doi:10.7537/marsaaj0802s16.04
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number; function |
Full Text |
4 |
|
5 |
New prime K-tuple
theorem (5)
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we
prove that for every positive integer there
exist infinitely many primes and such
that each of  is
prime.
[Chun-Xuan Jiang.
New prime K-tuple
theorem (5).
Academ Arena
2016;8(2s): 7-8]. (ISSN 1553-992X).
http://www.sciencepub.net/academia.
5.
doi:10.7537/marsaaj0802s16.05
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number; function |
Full Text |
5 |
|
6 |
New prime K-tuple theorem (6)
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we prove that for every positive
integer there
exist infinitely many primes such
that each of  is
prime.
[Chun-Xuan Jiang. New prime K-tuple
theorem (6).
Academ Arena
2016;8(2s): 9-9].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
6.
doi:10.7537/marsaaj0802s16.06
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number; function |
Full Text |
6 |
|
7 |
New prime k-tuple
theorem（7）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we
prove for any there
are infinitely many primes such
that each of  is
a prime.
[Chun-Xuan Jiang.
New prime k-tuple
theorem（7）.
Academ Arena
2016;8(2s): 10-11]. (ISSN 1553-992X).
http://www.sciencepub.net/academia.
7.
doi:10.7537/marsaaj0802s16.07
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number; function |
Full Text |
7 |
|
8 |
New prime k-tuple
theorem（8）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we
prove that contain
no prime solutions.
[Chun-Xuan Jiang.
New prime k-tuple
theorem（8）.
Academ
Arena
2016;8(2s): 12-13]. (ISSN 1553-992X).
http://www.sciencepub.net/academia.
8.
doi:10.7537/marsaaj0802s16.08
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number; function |
Full Text |
8 |
|
9 |
New prime k-tuple
theorem（9）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we
prove that  contain
no prime solutions.
[Chun-Xuan Jiang.
New prime k-tuple
theorem（9）.
Academ
Arena
2016;8(2s): 14-15].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
9.
doi:10.7537/marsaaj0802s16.09
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number;
function |
Full Text |
9 |
|
10 |
New prime k-tuple
theorem（10）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we
prove for any there
are infinitely many primes such
that each of  is
a prime.
[Jiang, Chunxuan (蒋春暄).
New prime k-tuple
theorem（10）.
Academ Arena
2016;8(2s): 16-17].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
10.
doi:10.7537/marsaaj0802s16.10
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number;
function |
Full Text |
10 |
|
11 |
New prime k-tuple
theorem（11）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we
prove for any there
are infinitely many primes such
that each of  is
a prime.
[Jiang, Chunxuan (蒋春暄).
New prime k-tuple
theorem（11）.
Academ Arena
2016;8(2s): 18-19].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
11.
doi:10.7537/marsaaj0802s16.11
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number;
function |
Full Text |
11 |
|
12 |
New prime k-tuple
theorem（12）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we
prove for any there
are infinitely many primes such
that each of  is
a prime.
[Jiang, Chunxuan (蒋春暄).
New prime k-tuple
theorem（12）.
Academ Arena
2016;8(2s): 20-21].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
12.
doi:10.7537/marsaaj0802s16.12
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number;
function |
Full Text |
12 |
|
13 |
New prime k-tuple
theorem（13）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we
prove for any there
are infinitely many primes such
that each of  is
a prime.
[Jiang, Chunxuan (蒋春暄).
New prime k-tuple
theorem（13）.
Academ Arena
2016;8(2s): 22-23].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
13.
doi:10.7537/marsaaj0802s16.13
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number; function |
Full Text |
13 |
|
14 |
New prime k-tuple
theorem（14）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we prove for any there
are infinitely many primes such
that each of  is
a prime.
[Jiang, Chunxuan (蒋春暄).
New prime k-tuple
theorem（14）.
Academ Arena
2016;8(2s): 24-25].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
14.
doi:10.7537/marsaaj0802s16.14
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number;
function |
Full Text |
14 |
|
15 |
New prime k-tuple
theorem（15）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we
prove for any there
are infinitely many primes such
that each of  is
a prime.
[Jiang, Chunxuan (蒋春暄).
New prime k-tuple
theorem（15）.
Academ Arena
2016;8(2s): 26-27].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
15.
doi:10.7537/marsaaj0802s16.15
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number;
function |
Full Text |
15 |
|
16 |
New prime k-tuple
theorem（16）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we
prove for any there
are infinitely many primes such
that each of  is
a prime.
[Jiang, Chunxuan (蒋春暄).
New prime k-tuple
theorem（16）.
Academ Arena
2016;8(2s): 28-29].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
16.
doi:10.7537/marsaaj0802s16.16
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number;
function |
Full Text |
16 |
|
17 |
New prime k-tuple
theorem（17）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we
prove for any there
are infinitely many primes such
that each of  is
a prime.
[Jiang, Chunxuan (蒋春暄).
New prime k-tuple
theorem（17）.
Academ Arena
2016;8(2s): 30-31].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
17.
doi:10.7537/marsaaj0802s16.17
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number; function |
Full Text |
17 |
|
18 |
New prime k-tuple
theorem（18）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we prove for any there
are infinitely many primes such
that each of  is
a prime.
[Jiang, Chunxuan (蒋春暄).
New prime k-tuple
theorem（18）.
Academ Arena
2016;8(2s): 32-33].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
18.
doi:10.7537/marsaaj0802s16.18
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number;
function |
Full Text |
18 |
|
19 |
New prime k-tuple
theorem（19）
Jiang, Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we prove for any there
are infinitely many primes such
that each of  is
a prime.
[Jiang, Chunxuan (蒋春暄).
New prime k-tuple
theorem（19）.
Academ Arena
2016;8(2s): 34-35].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
19.
doi:10.7537/marsaaj0802s16.19
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number;
function |
Full Text |
19 |
|
20 |
New prime
k-tuple theorem（20）
Jiang, Chun-Xuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Using Jiang function we
prove for any there
are infinitely many primes such
that each of  is
a prime.
[Jiang, Chun-Xuan (蒋春暄).
New prime k-tuple
theorem（20）.
Academ Arena
2016;8(2s): 36-37].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
20.
doi:10.7537/marsaaj0802s16.20
Keywords:
new; prime; k-tuple; theorem; Jiang Chunxuan;
mathematics; science; number;
function |
Full Text |
20 |
|
21 |
Automorphic Functions
And Fermat’s Last Theorem(1)
Jiang Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
In 1637 Fermat wrote: “It is impossible to separate a
cube into two cubes, or a biquadrate into two
biquadrates, or in general any power higher than the
second into powers of like degree: I have discovered a
truly marvelous proof, which this margin is too small to
contain.” This means:  has no
integer solutions, all different from 0(i.e., it has
only the trivial solution, where one of the integers is
equal to 0). It has been called Fermat’s last theorem
(FLT). It suffices to prove FLT for exponent 4. and
every prime exponent  .
Fermat proved
FLT for exponent 4. Euler proved FLT for exponent 3.
In this paper
using automorphic functions we prove FLT for exponents  and , where is an odd
prime. The proof of FLT must be direct. But indirect
proof of FLT is disbelieving.
[Jiang Chunxuan (蒋春暄).
Automorphic Functions And Fermat’s Last Theorem(1).
Academ Arena
2016;8(2s): 38-50].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
21.
doi:10.7537/marsaaj0802s16.21 |
Full Text |
21 |
|
22 |
Fermat's Last Theorem
Jiang Chunxuan (蒋春暄)
Institute for Basic
Research, Palm Harbor, FL34682-1577, USA
And: P. O. Box 3924,
Beijing 100854, China (蒋春暄，北京3924信箱，100854)
jiangchunxuan@sohu.com,
cxjiang@mail.bcf.net.cn,
jcxuan@sina.com,
Jiangchunxuan@vip.sohu.com,
jcxxxx@163.com
Abstract:
Fermat's last Theorem:
There is no positive integers x, y, z, and n > 2 such
that x n+ yn = zn.
[Jiang Chunxuan (蒋春暄).
Fermat's Last
Theorem.
Academ Arena
2016;8(2s): 51-64].
(ISSN 1553-992X).
http://www.sciencepub.net/academia.
22.
doi:10.7537/marsaaj0802s16.22
Keywords:
Automorphic Function; Fermat’s Last Theorem; exponent;
Jiang Chunxuan |
Full Text |
22 |
The
articles in this issue are presented as online first for
peer-review starting from
March,
2016.
All
comments are welcome: editor@sciencepub.net
For
back issues of the Academia Arena, click here.
Emails:
editor@sciencepub.net;
sciencepub@gmail.com
Website: http://www.sciencepub.net/academia
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