A new extension of the Erdos-Heilbronn conjecture

Details A new extension of the Erdos-Heilbronn conjecture A new extension of the Erdos-Heilbronn conjecture

2007-12-29

arxiv.org/abs/0801.0080v3

J. Combin. Theory Ser. A 116(2009), no.8, 1374-1381

Mathematics

Number Theory

Scientific paper

Let A_1,...,A_n be finite subsets of a field F, and let
f(x_1,...,x_n)=x_1^k+...+x_n^k+g(x_1,...,x_n)\in F[x_1,...,x_n] with deg gWe obtain a lower bound for the cardinality of {f(x_1,...,x_n): x_1\in
A_1,...,x_n\in A_n, and x_i\not=x_j if i\not=j}. The result extends the
Erdos-Heilbronn conjecture in a new way.

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