A Does anyone recognize this equation?

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The equation in question appears to relate to the summation of all divisors d of k, potentially linked to the Möbius Inversion function. It is suggested that if n is a power of a prime number, the equation's right side corresponds to the count of monic irreducible polynomials of degree k over a finite field with n elements. This connection is further explored in the context of algebraic number theory. The discussion emphasizes the mathematical significance of the equation and its applications. Understanding this equation could enhance insights into number theory and polynomial structures.
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Does anyone recognize this equation? Which branch of mathematics is it?
Does anyone recognize this equation?

Which branch of mathematics is it from?
 

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It seems summation for all the divisors d of k.
 
If n is the power of a prime number, then the right side of the equation equals the number of monic irreducible polynomials of degree k over the finite field with n elements. See the section on Algebraic number theory in this Wikipedia article and the cited reference.
 

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