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Rusza triangle inequality and approximate groups.

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#combinatorics #additive-combinatorics
138
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Is there any general method for solving $(a_1+a_2+..a_n)^2=a_1^3+a_2^3+...+a_n^3$ in positive integers $a_1,a_2,...a_n$?

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#number-theory #diophantine-equations #additive-combinatorics
2.3k
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Probability addition rule over 100 percent?

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#probability #additive-combinatorics
210
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Understanding an example of a prime-like non-finite additive basis

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#number-theory #examples-counterexamples #additive-combinatorics
139
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Why is $\sigma[U]\approx 1 $?

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#additive-combinatorics
255
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For what subset of the reals is the difference of any two elements always unique such that every real can be so represented?

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#number-theory #elementary-set-theory #real-numbers #additive-combinatorics
53
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Invariance of a set under permutations

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#number-theory #reference-request #additive-combinatorics
809
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Sum of multiples of $2$ coprime numbers cover positive integers

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#elementary-number-theory #additive-combinatorics
138
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Number writable as sum of cubes in $9$ "consecutive" ways

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#number-theory #sums-of-squares #additive-combinatorics
179
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Is $1072$ the sum of $51$ cubes?

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#number-theory #additive-combinatorics
156
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Erdős and Szemerédi sums and producs

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#combinatorics #additive-combinatorics
137
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Contradiction in Frobenius coin problem

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#combinatorics #number-theory #elementary-number-theory #additive-combinatorics #linear-diophantine-equations
326
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Convolution of indicator functions with values in a finite field

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#finite-fields #harmonic-analysis #convolution #characteristic-functions #additive-combinatorics
203
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Additive combinatorics in Hamming weights of addition of numbers modulo $2^n$ with prescribed Hamming weight

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#number-theory #reference-request #computer-science #harmonic-analysis #additive-combinatorics
83
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An additive combinatorics problem

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#combinatorics #additive-combinatorics

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