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Generalising ‘Sums of cubes equal to squares of sums’
The Mathematical Gazette, 2001David Pagni drew attention to a result which is ascribed by Dickson [2, p. 286] to Liouville (1857), that the sum of the cubes of the number of divisors of each of the divisors of an integer, is equal to the square of their sum. For example, the divisors of 6 are 1, 2, 3, and 6,
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Relaxed Sum-of-squares Approach to Stabilization of Polynomial Fuzzy Systems
International Journal of Control, Automation and Systems, 2021Lizhen Li, Kazuo Tanaka
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Sums Of Squares And Gauss Sums
1995Abstract The concepts introduced so far form the basis for the major topics to be discussed in this chapter, they are Gauss sums and, to begin with, the representation of integers as sums of squares. Consider the proposition: if p is a prime and p = 1 (mod 4), then the Diophantine equation has an integer solution. This result.
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Cluster Validation for Mixtures of Regressions via the Total Sum of Squares Decomposition
Journal of Classification, 2020S. Ingrassia, A. Punzo
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