A Does anyone recognize this equation?

  • A
  • Thread starter Thread starter ElliotSmith
  • Start date Start date
AI Thread Summary
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.
ElliotSmith
Messages
167
Reaction score
104
TL;DR Summary
Does anyone recognize this equation? Which branch of mathematics is it?
Does anyone recognize this equation?

Which branch of mathematics is it from?
 

Attachments

  • 2.JPG
    2.JPG
    18 KB · Views: 145
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.
 

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

Recognize these inrush current limiting devices?
Replies
2
Views
1K
Relevance of an orphaned equation
Replies
14
Views
1K
Studying Best recognized distance learning options in mathematics?
Replies
3
Views
1K
I Is this the Fourier Number, or some other formula?
Replies
2
Views
3K
Is Richard Dawkins a "recognized scientist"?
Replies
11
Views
2K
How are mathematical ideas discovered
Replies
5
Views
1K
I Billard balls on table
Replies
10
Views
2K
Insights Series in Mathematics: From Zeno to Quantum Theory
Replies
2
Views
3K
I ##1^x =2## has complex solutions?
Replies
7
Views
2K
B Attempt to solve this system of three linear equations
Replies
10
Views
2K

Hot Threads

Recent Insights

Back
Top