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Quasiconvexity of a specific quartic bivariate polynomial family

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#differential-geometry #algebraic-geometry #convex-analysis #parametrization #sums-of-squares
541
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Upper bound on Sum of square roots

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#maxima-minima #sums-of-squares
97
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Sum of four Squares relation

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#number-theory #analytic-number-theory #sums-of-squares
135
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Odd of the form $a^2+b^2+c^2+ab+ac+bc$.

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#combinatorics #number-theory #elementary-number-theory #sums-of-squares #additive-combinatorics
211
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How to express a number as a sum of $k$ squares?

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#number-theory #sums-of-squares
296
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Inequality regarding sum of squared probabilities

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#probability #inequality #induction #sums-of-squares
56
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Diophantine equation: solving $a^2+4n=b^2$

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#diophantine-equations #square-numbers #sums-of-squares
75
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$\lim_{n\to\infty}\frac{\sum_{i=1}^ni^{4\lambda}}{\Big(\sum_{i=1}^ni^{2\lambda}\Big)^2}=0$

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#limits #sums-of-squares #gauss-sums
31
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Does bounded version of Lagrange's 4-square theorem follow from this result?

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#number-theory #proof-verification #asymptotics #sums-of-squares
250
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There exist infinitely many pairs of consecutive squares s.t. their sum is also a square

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#number-theory #modular-arithmetic #sums-of-squares
544
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If $xy$ divides $x^2 + y^2$ show that $x=\pm y$

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#elementary-number-theory #divisibility #sums-of-squares
241
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Positive integer solution of Diophantine equation $a^2+b^2=z^3$

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#number-theory #elementary-number-theory #diophantine-equations #sums-of-squares
850
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Can the sum of two squares be used to determine if a number is square free?

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#number-theory #elementary-number-theory #prime-numbers #prime-factorization #sums-of-squares
579
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Can the sum of two squares be used to factor large numbers?

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#number-theory #elementary-number-theory #prime-numbers #factoring #sums-of-squares
39
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Find the next least number N that is N+1 = X^2 and (N/2)+1 = y^2?

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#linear-algebra #sums-of-squares

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