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15
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Minkowski's convex body theorem and binary quadratic forms

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#quadratic-forms #geometry-of-numbers
677
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A proof of Minkowski's ramification theorem without the use of geometry of numbers

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#algebraic-number-theory #ramification #geometry-of-numbers
95
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How to post an idea to see if it has any merit?

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#number-theory #soft-question #geometry-of-numbers
200
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$\mathbb{R}^d / \Gamma$ where $\Gamma$ is an irrational lattice

Published on
#geometry #integer-lattices #vector-lattices #geometry-of-numbers
35
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Explicit bounds for counting integer points inside $2$-norm balls

Published on
#euclidean-geometry #geometry-of-numbers
23
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Probability that an integer polynomial factors in a particular family

Published on
#number-theory #irreducible-polynomials #geometry-of-numbers
81
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Number of lattice points of a convex body transformed by a matrix

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#linear-algebra #combinatorics #integer-lattices #additive-combinatorics #geometry-of-numbers
164
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If $(a,b,M)$ is a Pythagorean triple, can $(b,b+a,N)$ be another triple?

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#geometry #number-theory #diophantine-equations #pythagorean-triples #geometry-of-numbers
195
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Prove that there does not exist a $n$-regular polygon $(n\ge 4)$, such that its sides and diagonals are all integers.

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#geometry #complex-numbers #polygons #geometric-construction #geometry-of-numbers
2.4k
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Counting lattice points interior to a polygon

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#combinatorics #geometry #integer-lattices #geometry-of-numbers
1.7k
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Fermat's 2 Square-Like Results from Minkowski Lattice Proofs

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#number-theory #discrete-mathematics #integer-lattices #sums-of-squares #geometry-of-numbers
292
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Generating function for lattice points in a sphere

Published on
#combinatorics #generating-functions #combinatorial-geometry #geometry-of-numbers
310
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Generalization of Minkowski theorem

Published on
#geometry #geometry-of-numbers
123
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discrete subrings of $\mathbb{R}^r\times\mathbb{C}^s$

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#ring-theory #algebraic-number-theory #geometry-of-numbers
340
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Reference for Noam Elkies comments on integral lattices and fundamental parallelotope

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

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