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a^5 + b^5 + c^5 = d^5 + e^5 + f^5 = x^5 + y^5 + z^5

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master1729

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Nov 30, 2009, 2:24:50 PM11/30/09
to
let a b c d e f x y z be distinct positive integers.

a^5 + b^5 + c^5 = d^5 + e^5 + f^5 = x^5 + y^5 + z^5

solve that diophantine equation.

regards

tommy1729

2.7182818284590...

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Nov 30, 2009, 3:35:25 PM11/30/09
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What would this do for you? What can this do for you?

Gerry Myerson

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Nov 30, 2009, 4:51:27 PM11/30/09
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In article
<1060668259.58373.12596...@gallium.mathforum.org>,
master1729 <tomm...@gmail.com> wrote:

> let a b c d e f x y z be distinct positive integers.
>
> a^5 + b^5 + c^5 = d^5 + e^5 + f^5 = x^5 + y^5 + z^5
>
> solve that diophantine equation.

People may be interested to know that Swinnerton-Dyer gave
a parametric solution to a^5 + b^5 + c^5 = d^5 + e^5 + f^5
in Proc Camb Phil Soc 48 (1952) 516-518.

--
Gerry Myerson (ge...@maths.mq.edi.ai) (i -> u for email)

master1729

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Nov 30, 2009, 5:59:55 PM11/30/09
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Gerry Myerson wrote :

> In article
> <1060668259.58373.1259609120702.JavaMail.root@gallium.

yes the great Swinnerton-Dyer did so.

i knew he did , but it is good to post it.

hope it will help.

thanks

regards

tommy1729

master1729

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Dec 1, 2009, 3:10:44 PM12/1/09
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cmon people , show me what you are made of !!

Dan Cass

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Dec 3, 2009, 1:29:42 PM12/3/09
to
> In article
> <1060668259.58373.1259609120702.JavaMail.root@gallium.

If one takes Swinnerton-Dyer's parametric solution,
and replaces the parameters by complex variables,
then separates real and imaginary parts,
one finds either infinitely many solutions,
or else one finds one might as well wrinkle the paper
up and throw it away.

master1729

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Dec 6, 2009, 5:29:13 PM12/6/09
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Dan Cass wrote :

what are you trying to say here ?

Dan Cass

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Dec 8, 2009, 12:30:07 PM12/8/09
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Sorry, it was a joke response.
Mainly because I see no idea how to solve it...

master1729

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Dec 8, 2009, 2:43:19 PM12/8/09
to
Gerry Myerson wrote :

> In article
> <1060668259.58373.1259609120702.JavaMail.root@gallium.

maybe you can give the parametric solution here explicitly ?

for once , lets - for the heck of it - post something explicitly on sci.math without a reference.

how exciting that would be.

or is that illegal or something ?


tommy1729

Gerry Myerson

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Dec 8, 2009, 6:10:27 PM12/8/09
to
In article
<1032884984.26267.12603...@gallium.mathforum.org>,
master1729 <tomm...@gmail.com> wrote:

> Gerry Myerson wrote :
>
> > In article
> > <1060668259.58373.1259609120702.JavaMail.root@gallium.
> > mathforum.org>,
> > master1729 <tomm...@gmail.com> wrote:
> >
> > > let a b c d e f x y z be distinct positive
> > integers.
> > >
> > > a^5 + b^5 + c^5 = d^5 + e^5 + f^5 = x^5 + y^5 + z^5
> > >
> > > solve that diophantine equation.
> >
> > People may be interested to know that Swinnerton-Dyer
> > gave a parametric solution to a^5 + b^5 + c^5 = d^5 + e^5 + f^5
> > in Proc Camb Phil Soc 48 (1952) 516-518.
>

> maybe you can give the parametric solution here explicitly ?
>
> for once , lets - for the heck of it - post something explicitly on sci.math
> without a reference.
>
> how exciting that would be.
>
> or is that illegal or something ?

For once, go look something up yourself.

master1729

unread,
Dec 9, 2009, 3:22:58 PM12/9/09
to
> In article
> <1032884984.26267.1260301429799.JavaMail.root@gallium.

no free access.

Gerry Myerson

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Dec 9, 2009, 5:24:54 PM12/9/09
to
In article
<101438640.31908.12603...@gallium.mathforum.org>,
master1729 <tomm...@gmail.com> wrote:

> no free access.

Interlibrary loan.

master1729

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Dec 11, 2009, 5:56:27 PM12/11/09
to
> In article
> <101438640.31908.1260390209839.JavaMail.root@gallium.m

still no free access.

Gerry

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Dec 11, 2009, 11:17:04 PM12/11/09
to
On Dec 12, 9:56 am, master1729 <tommy1...@gmail.com> wrote:

<snip!>

> > > > > > > let a b c d e f x y z be distinct positive integers.
>
> > > > > > > a^5 + b^5 + c^5 = d^5 + e^5 + f^5 = x^5 + y^5 + z^5
>
> > > > > > > solve that diophantine equation.
>
> > > > > > People may be interested to know that Swinnerton-Dyer
> > > > > > gave  a parametric solution to a^5 + b^5 + c^5 = d^5 + e^5 + f^5
> > > > > > in Proc Camb Phil Soc 48 (1952) 516-518.
>
> > > > > maybe you can give the parametric solution here explicitly ?
>
> > > > > for once , lets - for the heck of it - post something explicitly on sci.math
> > > > > without a reference.
>
> > > > > how exciting that would be.
>
> > > > > or is that illegal or something ?
>
> > > > For once, go look something up yourself.
>
> > > no free access.
>
> > Interlibrary loan.
>
> still no free access.

How much does interlibrary loan cost?
--
GM

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