Does anyone recognize this equation?

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Discussion Overview

The discussion revolves around the identification of a specific mathematical equation and its origins within various branches of mathematics. Participants explore potential connections to number theory and algebraic structures.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant suggests that the equation involves summation over all divisors of a number k.
  • Another participant proposes a connection to the Möbius Inversion function, referencing an external source for further information.
  • A different participant indicates that if n represents the 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, citing algebraic number theory.

Areas of Agreement / Disagreement

Participants present multiple competing views regarding the equation's interpretation and relevance to different mathematical concepts, and no consensus is reached.

Contextual Notes

Some assumptions about the equation's context and definitions are not explicitly stated, which may affect the interpretations offered by participants.

ElliotSmith
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TL;DR
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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Mathematics news on Phys.org
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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