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15
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Find the rank and signature of the following

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#linear-algebra #matrices #quadratic-forms #matrix-rank #sums-of-squares
108
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Lagrange's 4 square theorem: are there finite integers which require 4 non-zero squares in a unique way?

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#number-theory #sums-of-squares
148
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Is there a prime $m^2+n^2$ for all $m\in\mathbb N$ given $m \geq n$?

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#elementary-number-theory #sums-of-squares
146
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Difference of two sums of three squares

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#sums-of-squares
275
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Some Sum of Squares Inequality

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#linear-algebra #number-theory #summation #means #sums-of-squares
617
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How to prove $2x^2 + 2y^2 + 2z^2 -2xy -2yz \geq 0$

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#algebra-precalculus #inequality #proof-writing #sums-of-squares
100
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Find $(m,n)$ where $\sum\limits_{r=1}^n r = \sum\limits_{r=1}^m r^2$.

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#summation #diophantine-equations #sums-of-squares
160
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How to prove $x^4+2x^2y^2+y^4\geq2xy^3$

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#inequality #proof-writing #sums-of-squares
55
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When or how can basic sieve failures occur, if ever?

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#elementary-number-theory #prime-numbers #quadratic-residues #sums-of-squares #sieve-theory
60
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Get a formula for sum of squares through functional equations

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#polynomials #induction #functional-equations #sums-of-squares
81
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Easiest way to solve this inequality? $m^2-mn+n^2+m-n>0$ for $m,n \in \mathit Z^+$

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#elementary-number-theory #inequality #integers #sums-of-squares
106
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Prove there are 4 integer roots on $x^2+y^2=2^n$

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#elementary-number-theory #circles #integers #sums-of-squares #gaussian-integers
159
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Why Exactly 3 Involutions Are Used in The Proof of Roger Heath-Brown?

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#number-theory #prime-numbers #fixed-point-theorems #sums-of-squares #involutions
44
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Sum of squares of a normalized sequence

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#sums-of-squares
953
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What is an admissible solution

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#optimization #sums-of-squares #moment-problem

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