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Are there identities which show that every odd square is the sum of three squares?

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#elementary-number-theory #sums-of-squares
97
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show the p is a sum of two squares - number theory

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#elementary-number-theory #prime-numbers #sums-of-squares
13.7k
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Prove that the expectation of residual sum of squares (RSS) is equal to $\sigma^2(n-2)$

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#regression #expectation #sums-of-squares
1.7k
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Fermat's 2 Square-Like Results from Minkowski Lattice Proofs

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#number-theory #discrete-mathematics #integer-lattices #sums-of-squares #geometry-of-numbers
46
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Establishing an Upper Bound for a Curious Function

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#sequences-and-series #summation #sums-of-squares
691
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Weighted sum of squares, in a finite field

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#elementary-number-theory #finite-fields #square-numbers #sums-of-squares
250
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Showing a Hermitian preserving map is not necessarily positivity preserving?

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#matrices #eigenvalues-eigenvectors #linear-programming #matrix-equations #sums-of-squares
1.2k
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Algorithm to find solution to $ax^2 + by^2 = 1$ in a finite field

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#elementary-number-theory #finite-fields #square-numbers #sums-of-squares
89
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A four-digit square is of the form $aabb$. What's $a^2+b^2$?

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#elementary-number-theory #decimal-expansion #square-numbers #sums-of-squares
836
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Prove that no $n,m, 0<n<m$ exist such that $m^2 +mn+n^2$ is a square number

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#square-numbers #sums-of-squares
7.7k
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sum of 4 squares

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#number-theory #sums-of-squares
377
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squares which are not the sum of a square and twice a triangular number

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#number-theory #elementary-number-theory #square-numbers #sums-of-squares
183
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Azuma's inequality: Expected sum of differences

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#probability #inequality #martingales #sums-of-squares
265
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Difference of squares - number of representations

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#number-theory #sums-of-squares #representations-by-quadratic-forms
210
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Does this equation have positive integer solutions?

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#elementary-number-theory #sums-of-squares

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