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Given a list of $2^n$ nonzero vectors in $GF(2^n)$, do some $2^{n-1}$ of them sum to 0?

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#combinatorics #finite-fields #additive-combinatorics #algebraic-combinatorics #arithmetic-combinatorics
459
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Arithmetic progressions

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#combinatorics #number-theory #reference-request #additive-combinatorics
1.1k
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Using Bohr sets to locate arithmetic progressions

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#fourier-analysis #additive-combinatorics
219
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Example of sets with additive property

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#combinatorics #additive-combinatorics
301
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Combinatorics question in the style of Van der Waerden's theorem

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#combinatorics #additive-combinatorics
515
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Freiman homomorphism on generating set

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#abelian-groups #additive-combinatorics
1.1k
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Constructing arithmetic progressions

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#number-theory #analytic-number-theory #additive-combinatorics
269
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Sum of squares of multiplicities of differences

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#combinatorics #elementary-number-theory #additive-combinatorics
221
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Finding the Number of Ordered Triples $(x_1,x_2,x_3)$ such that $x_1 + 2x_2 + 3x_3 = n$

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#additive-combinatorics
319
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If $\sum a_n z^n = f(z) = \sum b_n z^n$, What Can Be Said About the Coefficients $a_n$ and $b_n$

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#power-series #additive-combinatorics
870
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A problem in additive number theory.

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#number-theory #additive-combinatorics
213
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Sumset using first moment method

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#probability #combinatorics #additive-combinatorics
191
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Constructions of small set with big difference set

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#additive-combinatorics #difference-sets
88
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Determining the existence of a solution to an additive equation

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#additive-combinatorics
156
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Is this a series convergence criterion? (Related to the Hilbert-Waring theorem)

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#number-theory #sequences-and-series #convergence-divergence #semigroups #additive-combinatorics

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