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 2020-06-26, 22:34 #1 Zcyyu   Jun 2020 2·11 Posts New {function, criterion, theorem, conjecture} for discriminant of congruence New function, new criterion, new theorem and new conjecture for discriminant of congruence Zhou CongYao College of Information Science and Engineering, Hunan University Yu Wei Department of statistics & financial engineering,College of mathematics and statistics,ningbo university TangXiaoNing Beijing Haitian Start Technology Service Co., Ltd. ABstruct In this paper,a new function of congruence discrimination is proposed,namely,the upper bound estimation funtion of the number of solutions of the congruence. If the value of this function is 1,the posttive integer A is noncongruent,this is the new N-1 criterion.Using this guideline, to history all 3 congruence negative theorms,a very simple elementary proof is given;and proved the author's newly discovered three modular 8-type congruence negative theorems; At the same time,eight new congruences negation theorems(not model 8 types) are proved,by the way,we derive 1511 infinite sequences of noncongruent If A is a congruence number,the value of this function is integer power of 2,that is,there are at least two types of solutions for congruence,one of them must be Fermat type,and each type has an infinite number of solutions. Using this upper bound function, some new theorems for the number of congruence solutions are derived: the exact value of the solution is 2, 4, 8, 16, 32; On this basis, a new conjecture is put forward: If the type of the congruence solution is used as an element, then these elements form a group,and the order of this group is integer power of 2 ,for any congruence, the conversion relationship between the types is fixed. Keyword：congruence number，Elliptic Curves，Number Theory,Group Last fiddled with by Zcyyu on 2020-06-26 at 23:10 Reason: 9. Conclusion 1) This paper proves all 3 congruence negative theorems in history using the N-1 criterion and the simplest e
 2020-06-27, 00:01 #2 Uncwilly 6809 > 6502     """"""""""""""""""" Aug 2003 101×103 Posts 2·32·17·29 Posts Can you provide a link to the paper or a pdf? English preferred.
 2020-06-28, 10:38 #4 Zcyyu   Jun 2020 2·11 Posts New function, new criterion, new theorem and new conjecture for discriminant of congruence number New function, new criterion, new theorem and new conjecture for discriminant of congruence Zhou CongYao College of Information Science and Engineering, Hunan University Yu Wei Department of statistics & financial engineering,College of mathematics and statistics,ningbo university TangXiaoNing Beijing Haitian Start Technology Service Co., Ltd. ABstruct In this paper,a new function of congruence discrimination is proposed,namely,the upper bound estimation funtion of the number of solutions of the congruence. If the value of this function is 1,the posttive integer A is noncongruent,this is the new N-1 criterion.Using this guideline, to history all 3 congruence negative theorms,a very simple elementary proof is given;and proved the author's newly discovered three modular 8-type congruence negative theorems; At the same time,eight new congruences negation theorems(not model 8 types) are proved,by the way,we derive 1511 infinite sequences of noncongruent If A is a congruence number,the value of this function is integer power of 2,that is,there are at least two types of solutions for congruence,one of them must be Fermat type,and each type has an infinite number of solutions. Using this upper bound function, some new theorems for the number of congruence solutions are derived: the exact value of the solution is 2, 4, 8, 16, 32; On this basis, a new conjecture is put forward: If the type of the congruence solution is used as an element, then these elements form a group,and the order of this group is integer power of 2 ,for any congruence, the conversion relationship between the types is fixed. Keyword：congruence number，Elliptic Curves，Number Theory,Group Mod note: This post has been moved here from a new thread. Please don't make new threads with similar content to existing threads. Attached Files
2020-06-28, 14:30   #5
R.D. Silverman

Nov 2003

26·113 Posts

Quote:
 Originally Posted by Zcyyu New function, new criterion, new theorem and new conjecture for discriminant of congruence Zhou CongYao College of Information Science and Engineering, Hunan University Yu Wei Department of statistics & financial engineering,College of mathematics and statistics,ningbo university TangXiaoNing Beijing Haitian Start Technology Service Co., Ltd. ABstruct In this paper,a new function of congruence discrimination is proposed,namely,the upper bound estimation funtion of the number of solutions of the congruence.
Unreadable . And the author totally fails in the most basic way to define
"the congruence". One must ask: What congruence?? Does he refer to
what is known as "the congruent number problem"?

2020-06-29, 07:38   #6
Zcyyu

Jun 2020

268 Posts

Quote:
 Originally Posted by R.D. Silverman Unreadable . And the author totally fails in the most basic way to define "the congruence". One must ask: What congruence?? Does he refer to what is known as "the congruent number problem"?
yes, It is that "the congruent number problem"

the conjecture that all congruence solutions all to be a group and the order of the group is a power of 2, it may be one of the most important discoveries in the field of millennial congruence.

Last fiddled with by Zcyyu on 2020-06-29 at 08:04

 2020-06-29, 11:02 #7 Dr Sardonicus     Feb 2017 Nowhere ECA16 Posts An introduction to the subject of "congruent numbers" may be found here: THE CONGRUENT NUMBER PROBLEM by Keith Conrad.
2020-06-30, 06:52   #8
Zcyyu

Jun 2020

2×11 Posts
New function, new criterion, new theorem and new conjecture for discriminant of congruence

Quote:
 Originally Posted by Zcyyu yes, It is that "the congruent number problem" the conjecture that all congruence solutions all to be a group and the order of the group is a power of 2, it may be one of the most important discoveries in the field of millennial congruence.
Provides the most new results in an article
1) Elementary proof of three theorems in history
2) Proof of our three modular 8 theorems
3) Our proof of 8 modeless 8 theorems and 1511 non-congruent rsequences
4) 8 theorems proving of the types of solutions
5) Three new conjectures
6) One new funtion
7) One new criterion

Last fiddled with by Zcyyu on 2020-06-30 at 07:03

2020-06-30, 20:36   #9
Zcyyu

Jun 2020

2·11 Posts
New function, new criterion, new theorem and new conjecture for discriminant of congruent number

Quote:
 Originally Posted by Uncwilly Can you provide a link to the paper or a pdf? English preferred.
Now we have provided the full PDF in English.

2020-06-30, 20:44   #10
chalsall
If I May

"Chris Halsall"
Sep 2002

2×59×79 Posts

Quote:
 Originally Posted by Zcyyu Now we have provided the full PDF in English.
If a tree falls in a forest and no one is around to hear it, does it make a sound?

2020-07-01, 08:16   #11
xilman
Bamboozled!

"𒉺𒌌𒇷𒆷𒀭"
May 2003
Down not across

237178 Posts

Quote:
 Originally Posted by chalsall If a tree falls in a forest and no one is around to hear it, does it make a sound?
If a man says something and there is no woman around to hear it, is he still wrong?

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