What is minimum value of |a+bw+cw^2|? whrere w is cube root of unity?

  • Thread starter vkash
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  • #1
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a,b,c are integers not all equal and w is the cube root of unity then minimum value of |a+bw+cw2|(w is not equals one).

My answer
|a+bw+cw2|<=|a|+|bw|+|cw2|
|a|+|bw|+|cw2|=a+b+c.
so at lest one value of |a+bw+cw2| will smaller than the minimum value of a+b+c. for integers this minimum value is smallest integers you can think of.
But that's wrong.????why???
 

Answers and Replies

  • #2
Simon Bridge
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Is |w2| = 1?
 

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