a^5 + b^5 + c^5 = d^5 + e^5 + f^5 = x^5 + y^5 + z^5
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From: master1729 on 9 Dec 2009 05:22 > In article > <1032884984.26267.1260301429799.JavaMail.root(a)gallium. > mathforum.org>, > master1729 <tommy1729(a)gmail.com> wrote: > > > Gerry Myerson wrote : > > > > > In article > > > > <1060668259.58373.1259609120702.JavaMail.root(a)gallium. > > > mathforum.org>, > > > master1729 <tommy1729(a)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. > > -- > Gerry Myerson (gerry(a)maths.mq.edi.ai) (i -> u for > email) no free access.
From: Gerry Myerson on 9 Dec 2009 17:24 In article <101438640.31908.1260390209839.JavaMail.root(a)gallium.mathforum.org>, master1729 <tommy1729(a)gmail.com> wrote: > > In article > > <1032884984.26267.1260301429799.JavaMail.root(a)gallium. > > mathforum.org>, > > master1729 <tommy1729(a)gmail.com> wrote: > > > > > Gerry Myerson wrote : > > > > > > > In article > > > > > > <1060668259.58373.1259609120702.JavaMail.root(a)gallium. > > > > mathforum.org>, > > > > master1729 <tommy1729(a)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. > > no free access. Interlibrary loan. -- Gerry Myerson (gerry(a)maths.mq.edi.ai) (i -> u for email)
From: master1729 on 11 Dec 2009 07:56 > In article > <101438640.31908.1260390209839.JavaMail.root(a)gallium.m > athforum.org>, > master1729 <tommy1729(a)gmail.com> wrote: > > > > In article > > > > <1032884984.26267.1260301429799.JavaMail.root(a)gallium. > > > mathforum.org>, > > > master1729 <tommy1729(a)gmail.com> wrote: > > > > > > > Gerry Myerson wrote : > > > > > > > > > In article > > > > > > > > > <1060668259.58373.1259609120702.JavaMail.root(a)gallium. > > > > > mathforum.org>, > > > > > master1729 <tommy1729(a)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. > > > > no free access. > > Interlibrary loan. still no free access. > > -- > Gerry Myerson (gerry(a)maths.mq.edi.ai) (i -> u for > email)
From: Gerry on 11 Dec 2009 23:17 On Dec 12, 9:56 am, master1729 <tommy1...(a)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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