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Mutual difference of vectors squared, does it have a name?

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#summation #sums-of-squares
54
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Nonnegative vs SOS

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#polynomials #sums-of-squares
458
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Looking for all sequences such that $a_i^2+a_j^2=a_k^2+a_l^2$ whenever $i^2+j^2=k^2+l^2$

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#elementary-number-theory #diophantine-equations #functional-equations #square-numbers #sums-of-squares
835
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Why multivaraite positive polynomials cannot be written as sum of squares?

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#polynomials #sums-of-squares
56
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What does it mean for an integer $n$ to have $k$ expressions as $x^2 + y^2$?

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#number-theory #sums-of-squares
128
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Number of ways to write a prime $p \equiv 1 \bmod 4$ as a sum of two squares

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#number-theory #sums-of-squares
1.3k
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writing $pq$ as a sum of squares for primes $p,q$

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#number-theory #sums-of-squares
7.9k
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The number of ways of writing an integer as a sum of two squares

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#elementary-number-theory #prime-numbers #sums-of-squares
45
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Is there a system of equations model to solve sum of squared integers?

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#elementary-number-theory #sums-of-squares
2.3k
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Prove that if $3\mid a^2+b^2$ then $3\mid a$ and $3\mid b$.

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#elementary-number-theory #divisibility #quadratic-residues #sums-of-squares
2.5k
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Find rational points on $x^2 + y^2 = 3$ and on $x^2 + y^2 = 17$

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#number-theory #diophantine-equations #rational-numbers #sums-of-squares
5.6k
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How can I add 2 squares geometrically to get a bigger square?

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#geometry #sums-of-squares
936
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Sum of square patterns

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#diophantine-equations #sums-of-squares
94
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Expressing a metric as a sum of (possibly) many squares

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#differential-geometry #riemannian-geometry #sums-of-squares
946
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square of digits - why does it always contain 1 or 89

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#decimal-expansion #square-numbers #project-euler #sums-of-squares

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