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Sum of two squares modulo p

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#elementary-number-theory #modular-arithmetic #additive-combinatorics
70
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Cardinality of finite sets: if $B=\{a-b \mid a,b \in A\}$ and $C=\{a+b \mid a,b \in A\}$, then $|C|^2\ge |A||B|$

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#combinatorics #additive-combinatorics
325
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How can the smallest set of integers be generated such that the sums cover a given set?

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#number-theory #additive-combinatorics
86
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I need a set that enables me to identify specific containing elements by any summation of any of its subsets (see example to understand)

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#summation #additive-combinatorics
106
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Tilde Notation in Additive Combinatorics

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#number-theory #notation #additive-combinatorics
71
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How many ways are there of choosing $k$ distinct items from a set of $n$?

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#additive-combinatorics
120
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Choosing sets yielding large sumsets

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#number-theory #additive-combinatorics
104
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Find the constant c > 0?

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#additive-combinatorics
208
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Ex. 1.3.10 in Tao's Additive Combinatorics

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#complex-analysis #additive-combinatorics
133
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How to prove such inequality?

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#additive-combinatorics
96
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Construct an set $A\in\mathbb{N}$ such that $\delta(A)$ exists, but $\delta(A\cap(A+1))$ doesn't exist, where $A+1=\{a+1:a\in A\}$.

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#combinatorics #number-theory #elementary-number-theory #additive-combinatorics
353
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Minimum number of Pairwise sum of elements in a set

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#sequences-and-series #combinatorics #additive-combinatorics
63
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A solution for $A-A=\mathbb{Q}\setminus \{\pm1,\pm 2,\cdots,\pm m\}$

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#number-theory #elementary-number-theory #real-numbers #rational-numbers #additive-combinatorics
108
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Maximal size of bounded “sparse” sets of natural numbers

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#combinatorics #number-theory #elementary-number-theory #additive-combinatorics #sumset
73
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Additive structure of polynomial rings

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#abstract-algebra #soft-question #additive-combinatorics

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