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Visualize ideals in number fields

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#number-theory #algebraic-number-theory #integer-lattices #geometry-of-numbers
435
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Lagrange's theorem via Minkowski's first theorem

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#geometry-of-numbers
405
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Can interesting bounds to Gauss circle problem be seen/come from counting points close to a line?

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#number-theory #ergodic-theory #integer-lattices #diophantine-approximation #geometry-of-numbers
445
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Proof for known values of the Hermite constant

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#number-theory #algebraic-number-theory #geometry-of-numbers
333
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Solve $a^2 - 2b^2 - 3 c^2 + 6 d^2 =1 $ over integers $a,b,c,d \in \mathbb{Z}$

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#elementary-number-theory #diophantine-equations #pell-type-equations #geometry-of-numbers
2.2k
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number of lattice points in an n-ball

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#combinatorics #geometry #integer-lattices #geometry-of-numbers
336
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Sum of areas of triangles which have corners which are lattice points with 74 lattice points inside.

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#geometry #geometry-of-numbers
1.4k
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The number of lattice points in d-dimensional ball

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#combinatorics #reference-request #integer-lattices #analytic-combinatorics #geometry-of-numbers
550
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Find $n$ points on a circle with integer distances.

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#number-theory #euclidean-geometry #circles #plane-geometry #geometry-of-numbers
3.6k
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In Search Of Elementary Proof Of Kobayashi's Theorem

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#number-theory #elementary-number-theory #prime-numbers #diophantine-approximation #geometry-of-numbers
246
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Understanding a crude estimate for the number of lattice points inside a ball

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#real-analysis #analysis #integer-lattices #geometry-of-numbers
113
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Minkowski theory: an isomorphism of $\Bbb R$-vector spaces induces a scalar product on $\Bbb R^{r + 2s}$

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#number-theory #algebraic-number-theory #geometry-of-numbers
452
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How to construct six points $ABCDEF$ on a plane so that the distance between any two of them is an integer, and no three are collinear?

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#geometry #number-theory #plane-geometry #pythagorean-triples #geometry-of-numbers
125
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How to find vertices of a $5$-dimensional simplex, where the vertices are formed by zeroes and ones?

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#geometry #coding-theory #combinatorial-geometry #simplex #geometry-of-numbers
183
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Existence of $e$ such that there exist integers $x,y$ not both $0$ and that $\left|ax^2 + bxy + cy^2\right|\le e\sqrt{b^2 - 4ac}$

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#number-theory #quadratic-forms #geometry-of-numbers

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