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Sum of squares and primes

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#number-theory #sums-of-squares
124
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Squaring complex number equation with absolute values

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#complex-analysis #algebra-precalculus #complex-numbers #absolute-value #sums-of-squares
506
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Express Two way ANOVA with interaction as matrix form

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#matrices #statistics #sums-of-squares #anova
76
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For a number field $K$, is an integer a sum of two $K$'s elements squares iff it is a sum of two integer squares?

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#number-theory #algebraic-number-theory #sums-of-squares
63
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What number field is sum of two squares theorem true？

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#algebraic-number-theory #sums-of-squares
39
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Relating $\sum_{k=1}^N a_k^2 e^{\frac{2\pi i}{N}k}$ to $(\;\sum_{k=1}^N a_k e^{\frac{2\pi i}{N}k}\;)^2$

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#algebra-precalculus #summation #fourier-transform #sums-of-squares
54
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Sums of four squares with fewer squares

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#sums-of-squares
287
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Why the total sum of squares has $n-1$ degrees of freedom

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#linear-regression #sums-of-squares
132
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Relations between $m,x,y$ for prime $p=x^2+y^2$ and $m^2 \equiv -1 \pmod p$

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#number-theory #reference-request #sums-of-squares
41
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Constructing every pair of two square numbers with fixed sum

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#number-theory #elementary-number-theory #square-numbers #sums-of-squares #combinatorial-number-theory
247
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Under what condition sum of the norm squared is less than of square of the norm of average

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#inequality #average #sums-of-squares
34
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What is the proof for the summation of the first n squares?

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#calculus #integration #sums-of-squares
216
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How to calculate number of shapes inside a shape

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#ceiling-and-floor-functions #sums-of-squares
75
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How to mathematically write a limit of sum of the series starting from a square root of a number between 0 and 1?

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#sequences-and-series #limits #power-series #sums-of-squares
154
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When can $n$ be written as $a^2 +2b^2$?

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#number-theory #diophantine-equations #sums-of-squares

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