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Science Journal

 

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 theorem2

 

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 theorem2. 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 theorem7

 

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 theorem7. 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 theorem8

 

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 theorem8. 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 theorem9

 

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 theorem9. 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 theorem10

 

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 theorem10. 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 theorem11

 

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 theorem11. 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 theorem12

 

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 theorem12. 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 theorem13

 

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 theorem13. 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 theorem14

 

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 theorem14. 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 theorem15

 

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 theorem15. 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 theorem16

 

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 theorem16. 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 theorem17

 

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 theorem17. 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 theorem18

 

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 theorem18. 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 theorem19

 

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 theorem19. 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 theorem20

 

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 theorem20. 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

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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

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The articles in this issue are presented as online first for peer-review starting from March, 2016. 

All comments are welcome: editor@sciencepub.net

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