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Integer $2n^2+2$ as the sum of 2,3,4, and 5 squares

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#number-theory #elementary-number-theory #sums-of-squares
31
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From 4 squares to 2 squares

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#analytic-number-theory #sums-of-squares
358
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Coeff. of $x^{97}$ in $f(x) = (x-1)\cdot (x-2)\cdot (x-3)\cdot (x-4)\cdot ........(x-100)$

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#algebra-precalculus #polynomials #sums-of-squares #multinomial-coefficients
338
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Integer solutions to $x^2 + dy^2 = c$

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#number-theory #diophantine-equations #quadratic-forms #square-numbers #sums-of-squares
179
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Find the maximum and minimum of $\sum \limits_{i=1}^n x_i ^3$ given three constraints

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#algebra-precalculus #inequality #maxima-minima #integer-programming #sums-of-squares
301
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Can two distinct sets of $N$ non-negative numbers have the same sum and sum of squares?

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#elementary-number-theory #summation #sums-of-squares
200
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Sum of squares of random variables that satisfy $x_1+\dots+x_n=1$

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#random-variables #expectation #sums-of-squares
235
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If $p\equiv 3\pmod{4}$ and $p\mid x^2+y^2$, prove $p\mid x,y$.

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#elementary-number-theory #divisibility #quadratic-residues #sums-of-squares
1.7k
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Gauss' "Eureka" theorem

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#reference-request #sums-of-squares
36
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Representations of integer in the form f(x) - f(y)?

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#polynomials #sums-of-squares
1.2k
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Sum of two squares representation

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#number-theory #sums-of-squares
2k
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Determine if a positive integer is a sum of two positive squares

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#number-theory #elementary-number-theory #sums-of-squares
513
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Lagrange Method of Quadratic Form the a Billinear Form

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#linear-algebra #quadratic-forms #bilinear-form #sums-of-squares
199
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Strange induction proof

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#summation #proof-writing #induction #sums-of-squares
7.7k
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Can a square number be expressed as sum of squares of two other members.?

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#square-numbers #sums-of-squares #pythagorean-triples

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