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Forum: Miscellaneous Math 2021-01-15, 10:16
Replies: 37
Views: 6,631
Posted By Zcyyu
Post we have new found about congruent number

Here, we publish the solution of the congruent number 157 for the first time
Since 157 is a prime number with modulo 8 and 5, there must be a solution of type (1.1.157.1) scheme
That is, quaternion...
Forum: Miscellaneous Math 2020-11-05, 23:42
Replies: 37
Views: 6,631
Posted By Zcyyu
A new discovery: We found it altogether 12...

A new discovery: We found it altogether 12 congruent numbers,it's order of group is >=32
congruent number order of group The upper bound estimate
...
Forum: Miscellaneous Math 2020-07-12, 04:39
Replies: 37
Views: 6,631
Posted By Zcyyu
I'm sorry!

I'm so sorry! I don't know how to supplement or modify the original article.
Forum: Miscellaneous Math 2020-07-12, 04:18
Replies: 37
Views: 6,631
Posted By Zcyyu
A new function and new discovery of the number of type of solution about the congruent number

A new function and new discovery of the number of type of solution about the congruent number Zhou CongYao College of Information Science and Engineering, Hunan University
Yu Wei Department of...
Forum: Miscellaneous Math 2020-07-12, 01:47
Replies: 37
Views: 6,631
Posted By Zcyyu
N-1 criterion for discriminant,8 new theorems and 1511 sequences about congruent Number

ABstruct
In this paper, we present an N-1 criterion for discriminating congruent Number,
and use this criterion to prove that three theories of congruent Numbers in history.
It is also proved...
Forum: Miscellaneous Math 2020-07-11, 04:12
Replies: 37
Views: 6,631
Posted By Zcyyu
Example: A=1164714696873705=3*5*17*41*73*89*137*257*487

Example: A=1164714696873705=3*5*17*41*73*89*137*257*487
∵Z(A)=1, Correctly judge A as a non-congruent number , Less than 3 minutes. Unfortunately, our method is only valid for about 50% the...
Forum: Miscellaneous Math 2020-07-10, 22:50
Replies: 37
Views: 6,631
Posted By Zcyyu
New {function, new criterion, new theorem and new conjecture} about congruent number

The group of type of solutions is 2-order group , the relation matrix is of type as follows:
.... α F
α F α
F α F
Forum: Miscellaneous Math 2020-07-10, 08:29
Replies: 8
Views: 2,150
Posted By Zcyyu
283,243,137=3*17*23*241469,so Your conclusion is...

283,243,137=3*17*23*241469,so Your conclusion is wrong.
Forum: Miscellaneous Math 2020-07-09, 22:42
Replies: 37
Views: 6,631
Posted By Zcyyu
Three definitions of the congruent number

Three definitions of the congruent number
1) The oldest definition:Look for the squares of the three isometric differences, This tolerance is called the congruent number,.
E.g: 1/4 ,25/4 ,49/4,...
Forum: Miscellaneous Math 2020-07-09, 08:40
Replies: 37
Views: 6,631
Posted By Zcyyu
A new function and new discovery of the number of type of solution about the congruent number

For your reference:
The calculation of the congruent number is very difficult. Here is an example:
The smallest solution of 157,provided by genius mathematician Don Zagier, but he didn't provide an...
Forum: Miscellaneous Math 2020-07-08, 04:21
Replies: 37
Views: 6,631
Posted By Zcyyu
Forum: Miscellaneous Math 2020-07-04, 11:21
Replies: 37
Views: 6,631
Posted By Zcyyu
New function, new criterion, new theorem and new conjecture for discriminant of congruent number

At the beginning, we used the translation software,
but the quality was a little bad.
I'm going to revise it carefully

thanks !
Forum: Miscellaneous Math 2020-07-04, 08:40
Replies: 37
Views: 6,631
Posted By Zcyyu
Forum: Miscellaneous Math 2020-07-03, 11:06
Replies: 37
Views: 6,631
Posted By Zcyyu
New function, new criterion, new theorem and new conjecture for discriminant of congruence number

Dear:
Please download the full text of the pdf, (the format to start copying is very bad)
The results of this article are all correct
And all passed the calculation verification,
There is nothing...
Forum: Miscellaneous Math 2020-07-03, 10:43
Replies: 37
Views: 6,631
Posted By Zcyyu
New function, new criterion, new theorem and new conjecture for discriminant of congruent numbers

dear:
please see article of dbf
all theorems be right,
all of them calculate pass through by computer.
thanks!
Forum: Miscellaneous Math 2020-07-03, 06:57
Replies: 37
Views: 6,631
Posted By Zcyyu
New function, new criterion, new theorem and new conjecture for discriminant of congruent number

A PDF of the full paper has been provided,

All theorems are current results. A new function, a new rule is also the latest result,

The types of solutions of the congruent number are groups ,...
Forum: Miscellaneous Math 2020-07-02, 20:59
Replies: 37
Views: 6,631
Posted By Zcyyu
New function, new criterion, new theorem and new conjecture for discriminant of congruent number

I have read the full text and this is the basic introduction.

Our paper is the latest results, please correct! Thank you,
Forum: Miscellaneous Math 2020-06-30, 20:36
Replies: 37
Views: 6,631
Posted By Zcyyu
Forum: Miscellaneous Math 2020-06-30, 06:52
Replies: 37
Views: 6,631
Posted By Zcyyu
New function, new criterion, new theorem and new conjecture for discriminant of 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...
Forum: Miscellaneous Math 2020-06-29, 07:38
Replies: 37
Views: 6,631
Posted By Zcyyu
yes, It is that "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...
Forum: Miscellaneous Math 2020-06-28, 10:38
Replies: 37
Views: 6,631
Posted By Zcyyu
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...
Forum: Miscellaneous Math 2020-06-28, 02:24
Replies: 37
Views: 6,631
Posted By Zcyyu
New function, new criterion, new theorem and new 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...
Forum: Miscellaneous Math 2020-06-26, 22:34
Replies: 37
Views: 6,631
Posted By Zcyyu
Post 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...
Showing results 1 to 23 of 23

 
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