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#426 2019-05-04 21:27:51
- individ
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Re: Formulas for the solution of Diophantine equations.
https://math.stackexchange.com/question … 71#3214271
Use another equation.
And we use solutions to the Pell equation.
any number.Decisions then write down so.
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#427 2019-06-23 01:26:44
- individ
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Re: Formulas for the solution of Diophantine equations.
https://mathoverflow.net/questions/3343 … 624#334624
To solve the Diophantine equation. Where
is any given number...Solutions can be expressed through the following solutions to the Pell equation.
And then the decisions can be recorded...
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#428 2019-07-03 00:20:28
- individ
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Re: Formulas for the solution of Diophantine equations.
https://math.stackexchange.com/question … y2-a2ab-b2
Solution of equation.
Can be written using solutions to the Pell equation....
Knowing the first solutions for....
The following can be found by the formula.
Will make a replacement for the simplified entry....
And then the solutions of the equation can be written in the form...
So the Pell equation has infinitely many solutions, it means for any number - solutions will always be and infinitely many.
Last edited by individ (2019-07-03 00:21:35)
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#429 2019-07-10 22:36:23
- individ
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Re: Formulas for the solution of Diophantine equations.
A link to the discussion of the equation....
https://dxdy.ru/topic134512.html
I kind of wrote 5 parametric solution.
For the case when
or .... get the formula for 4 cubes...Last edited by individ (2019-07-11 16:28:48)
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#430 2019-09-14 18:47:02
- individ
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Re: Formulas for the solution of Diophantine equations.
https://math.stackexchange.com/question … s-part-two
Last edited by individ (2019-09-14 19:35:05)
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#431 2019-12-03 20:03:19
- individ
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Re: Formulas for the solution of Diophantine equations.
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#432 2020-08-12 20:06:55
- individ
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Re: Formulas for the solution of Diophantine equations.
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#433 2021-02-24 20:43:49
- individ
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Re: Formulas for the solution of Diophantine equations.
https://math.stackexchange.com/question … 86#4039186
To solve the Diophantine equation.
It is necessary to use the solution of the following equation.
There are solutions when the coefficient can be represented as the sum of squares.
And the solution itself can be presented in this form.
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