We consider the sum of the reciprocals of all monic polynomials of a given degree over a finite field Fq each raised to the power of k. When k ≤ q, the sum has a surprisingly simple result due to mysterious cancellations that occur in the sum.We discuss this interesting phenomenon and provide a new inductive proof.
|Original language||English (US)|
|Number of pages||5|
|Journal||American Mathematical Monthly|
|State||Published - Apr 1 2012|
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