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Eisentein theorem

  1. Mar 15, 2007 #1

    catcherintherye

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    Then the proof goes on to consider coefficient of x viz a1=boc1 + b1co, and we know that a1=0modp and b1co=0modp so boc1=0modp.....


    ....2 questions why is b1co necessarily =0modp ? and secondly why does it follow that boc1=0modp? ....



    .... i mean sure we know the sum b1co + boc1 =0modp but surely this doesn't imply b1co=0modp e.g 9=0mod3 but 9=5+4 and it is not true 5=0mod3
     
    Last edited: Mar 15, 2007
    catcherintherye, Mar 15, 2007
  2. jcsd
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  3. Mar 15, 2007 #2

    catcherintherye

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    btw does anyone know how to get all the mathematical symbols and stuff cos i'm getting really bored of typin g everything out long hand!
     
    catcherintherye, Mar 15, 2007
  4. Mar 15, 2007 #3

    jim mcnamara

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    Staff: Mentor

    jim mcnamara, Mar 15, 2007
  5. Mar 15, 2007 #4

    cristo

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    I don't know what you're trying to prove here, but the way you've worded it seems to suggest that you know that a1=0modp and b1co=0modp. Comparing this to your first equation, then clearly boc1=0modp.

    However, I don't think this is what you're asking. Perhaps you should state the assumptions of the theorem!
     
    cristo, Mar 15, 2007
  6. Mar 20, 2007 #5

    catcherintherye

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    [ tex ] a^x_n [ /tex ]
     
    catcherintherye, Mar 20, 2007
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