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The 2.1.3 Diophantine parameterization: Most elementary proof? Positive-only version?

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#elementary-number-theory #diophantine-equations #parametric #sums-of-squares
275
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How to find some specific sums of $q$-binomial coefficients?

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#combinatorics #binomial-coefficients #sums-of-squares
29
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How to calculate the sum of the squares of the reciprocals of the first n positive integers

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#sequences-and-series #number-theory #elementary-number-theory #algebraic-number-theory #sums-of-squares
122
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Rewriting $\frac{\operatorname d}{\operatorname dx}\min(x,n+1)$ using only the basic arithmetic.

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#functions #summation #arithmetic #sums-of-squares
67
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Inequality who involve squares

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#inequality #square-numbers #direct-sum #sums-of-squares
187
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Primes of the form $x^2 + 9 y^2$ and $x^2 + 12 y^2$

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#number-theory #elementary-number-theory #prime-numbers #algebraic-number-theory #sums-of-squares
257
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An equivalent of Jacobi's two square theorem

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#number-theory #sums-of-squares #q-series
128
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Show that $23a^2$ is not the sum of 3 squares.

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#number-theory #elementary-number-theory #sums-of-squares
42
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How can i rewrite my specific $F_{n,2d}^a$ polynomial to be a sum of $(3n-4)$ squares?

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#discrete-mathematics #polynomials #sums-of-squares #semidefinite-programming
59
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Floor equation with square roots

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#functions #radicals #ceiling-and-floor-functions #sums-of-squares
91
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Sum of two numbers as sum of two squares

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#elementary-number-theory #sums-of-squares
140
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How to convert 3 variable quadratic form into a sum of squares?

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#matrices #quadratic-forms #economics #sums-of-squares #completing-the-square
175
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On sums of two squares

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#number-theory #asymptotics #sums-of-squares
187
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Proving $\frac{a(b+c)}{a^2+bc}+\frac{b(a+c)}{b^2+ac}+\frac{c(b+a)}{c^2+ba}\geqq 1+\frac{16abc}{(a+b)(b+c)(c+a)} $

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#inequality #alternative-proof #symmetric-polynomials #sums-of-squares
145
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Proving ${ \left\{\sum \left( ab+{b}^{2}+{c}^{2}+ac \right)\right\} }^{4}\geq 27\,{ \sum} ( ab+{b}^{2}+{c}^{2}+ac ) ^{3} ( c+a) ( a+b) $

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#inequality #alternative-proof #symmetric-polynomials #sums-of-squares #sum-of-squares-method

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