Irrational algebraic numbers are conjectured to be normal in all basis. This implies in particular that 1 should appear with a frequency 1/2 in their binary expansion but even this is unknown for “natural” numbers. One way to approach this problem is to prove lower bounds for the bit counting function , the number of [...]
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Toward Normality of Algebraic Numbers?
Posted in Other nice math on March 27, 2009 | Leave a Comment »
