I just started learning about p-adic numbers so I am having trouble with a relatively easy question: Compute the 2-adic expansion of 2/3 and then verify your answer. Help would be appreciated. Thanks.
Last edited by mr fantastic; May 22nd 2009 at 03:12 PM. Reason: Restored original question deleted by OP
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Originally Posted by curiousmuch I just started learning about p-adic numbers so I am having trouble with a relatively easy question: Compute the 2-adic expansion of 2/3 and then verify your answer. Help would be appreciated. Thanks. Hi curiousmuch. Note that converges to in the 2-adic norm. Hence so the 2-adic expansion of is
Last edited by TheAbstractionist; May 19th 2009 at 11:26 AM.
Wow that's really helpful, but I would really appreciate it if you could explain the last step. How did you generate the 2 adic decimal expansion from the infinite series. Thanks.
Originally Posted by curiousmuch How did you generate the 2 adic decimal expansion from the infinite series. Thanks. They are the coefficients of the powers of 2 in the 2-adic power series.
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