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Post AT71bmahNeGxa3SAPw by [email protected] |
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Post #AT6xtFbCNn1QealFKa by [email protected] |
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The 'Gaussian integers' are numbers like a + biwhere a,b are ordinary i… |
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Post #AT6zpfIZ5gHd6pSmpM by [email protected] |
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I'll use Wilson's theorem, which implies that if p is an ordinary prime… |
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Post #AT70gDsLmKkrPHGMvg by [email protected] |
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Since -1 = ((2n)!)² mod pwe get((2n)!)² + 1 = 0 mod por in the Gaussian integ… |
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Post #AT71bmahNeGxa3SAPw by [email protected] |
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Note: when I went from "p is not prime in the Gaussian integers!" to … |
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Post #AT72CWT0IBfIHrNBgm by [email protected] |
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What about the prime 2? We have2 = (1 + i)(1 - i)But we don't say 2 splits… |
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Post #AT72IeIW5f48JNOB6G by [email protected] |
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I got my proof of Fermat's Christmas theorem from Jürgen Neukirch's bo… |
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Post #AT7ROPt94eQWDJMvHU by [email protected] |
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@johncarlosbaez This is very interesting, has it been studied whether a similar… |
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Post #AT7ROPxOoppUQVMJua by [email protected] |
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@mcc - de-prime-ization is usually called 'splitting': a prime in some … |
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Post #AT7SaVBNJh5a3uDprc by [email protected] |
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@dmm - I read your writeup; it's very nice. This stuff is tons of fun!Near… |
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Post #AT7cpGlcC787Eqqyh6 by [email protected] |
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@johncarlosbaez That it ramifies at 2 sounds like a covering map that ramifies … |
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Post #AT7eCvKzcUXPgGFD3A by [email protected] |
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@liuyao - Modern algebraic number theory indeed takes a geometrical approach. … |
