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On a remarkable system of fourth powers using $x^4+y^4+(x+y)^4=2z^4$

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#number-theory #diophantine-equations #triangles #elliptic-curves #quadratic-forms
233
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Quadratic form.

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#linear-algebra #quadratic-forms
65
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Representations of some primes as $x^2-2y^2$?

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#prime-numbers #diophantine-equations #quadratic-forms #quadratic-residues #diophantine-approximation
181
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How to solve similar with Transformation of a quadratic form into diagonal form?

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#linear-algebra #quadratic-forms
212
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Hurwitz's matrix equations

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#linear-algebra #quadratic-forms #sums-of-squares
67
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Representations of some primes as $3x^2-4y^2$?

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#prime-numbers #diophantine-equations #quadratic-forms
212
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Fermat's Challenge of composition of numbers

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#number-theory #math-history #quadratic-forms #infinite-descent
182
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Finding the spinor norm of an element using a proposition in 'The Maximal Subgroups of the Low-Dimensional Finite Classical Groups'.

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#group-theory #finite-groups #finite-fields #quadratic-forms #classical-groups
67
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Statement about composition of binary quadratic forms in "A Course in Computational Algebraic Number Theory"

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#number-theory #algebraic-number-theory #quadratic-forms
191
Views

Positiveness of a specified quadratic form

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#linear-algebra #matrices #quadratic-forms #positive-definite
1.3k
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Lower boundary of quadratic form

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#linear-algebra #quadratic-forms #positive-definite
76
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Regarding the factorization $a^2+3b^2 = cd$.

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#elementary-number-theory #proof-verification #factoring #quadratic-forms
143
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Unable to find solution for $a^2+b^2-ab$, given $a^2+b^2-ab$ is a prime number of form $3x+1$

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#prime-numbers #algebraic-number-theory #quadratic-forms #prime-factorization
351
Views

Maximization of vector norm under a quadratic convex inequality constraint

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#optimization #quadratic-forms
99
Views

Why do isotropic spaces deserve their name?

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#linear-algebra #abstract-algebra #definition #intuition #quadratic-forms

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