New posts in sums-of-squares

Coeff. of $x^{97}$ in $f(x) = (x-1)\cdot (x-2)\cdot (x-3)\cdot (x-4)\cdot ........(x-100)$

algebra-precalculus polynomials sums-of-squares multinomial-coefficients

Finding all integers such that $a^2+4b^2 , 4a^2+b^2$ are both perfect squares

elementary-number-theory square-numbers sums-of-squares

Most even numbers is a sum $a+b+c+d$ where $a^2+b^2+c^2=d^2$

elementary-number-theory diophantine-equations computational-mathematics conjectures sums-of-squares

Solutions to a system of three equations with Pythagorean triples

number-theory elementary-number-theory sums-of-squares pythagorean-triples

Find all $x,y,z$ such that $x^2 + y^2 + z^2 = 3^{10}$

elementary-number-theory diophantine-equations p-adic-number-theory sums-of-squares

$ \exists a, b \in \mathbb{Z} $ such that $ a^2 + b^2 = 5^k $

elementary-number-theory complex-numbers square-numbers sums-of-squares

Show that $x^2+y^2+z^2=999$ has no integer solutions

abstract-algebra elementary-number-theory diophantine-equations square-numbers sums-of-squares

Prove that if $3\mid a^2+b^2$ then $3\mid a$ and $3\mid b$.

elementary-number-theory divisibility quadratic-residues sums-of-squares

Intuition to faulhabers sum of k-th power of n first integrals

summation sums-of-squares

Sums of squares (Proof) [duplicate]

number-theory sums-of-squares

Standalone proof of a conditional part of Lagrange’s Four-Square Theorem?

elementary-number-theory reference-request sums-of-squares polytopes

$ 7\mid x \text{ and } 7\mid y \Longleftrightarrow 7\mid x^2+y^2 $

elementary-number-theory modular-arithmetic arithmetic divisibility sums-of-squares

Why is the square root of a sum not equal to the square root of each its addends?

algebra-precalculus sums-of-squares

(Non?)-uniqueness of sums of squares

elementary-number-theory sums-of-squares

Does this equation have positive integer solutions?

elementary-number-theory sums-of-squares

Polynomial equal to sum of squares of polynomials [duplicate]

algebra-precalculus polynomials sums-of-squares sum-of-squares-method real-algebraic-geometry

Properties of $F(p)=p^2+1$, where $p$ is a prime number

prime-factorization sums-of-squares

writing $pq$ as a sum of squares for primes $p,q$

number-theory sums-of-squares

Numbers which are not the sum of distinct squares

number-theory sums-of-squares

Natural number which can be expressed as sum of two perfect squares in two different ways?

number-theory elementary-number-theory sums-of-squares