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Algebraic and Additive Combinatorics
Polynomials as a counting tool — the Combinatorial Nullstellensatz — and the structure of sumsets from Cauchy–Davenport onward.
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In
Z
/
7
Z
\mathbb{Z}/7\mathbb{Z}
Z
/7
Z
with
∣
A
∣
=
3
|A| = 3
∣
A
∣
=
3
and
∣
B
∣
=
2
|B| = 2
∣
B
∣
=
2
,
what lower bound does Cauchy–Davenport give for
∣
A
+
B
∣
|A+B|
∣
A
+
B
∣
?
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AC
7
8
9
+
4
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6
−
1
2
3
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0
.
a
b
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