Note: A new extension of the Erdős--Heilbronn conjecture

Authors:
Hao Pan;Zhi-Wei Sun
Affiliations:
Department of Mathematics, Nanjing University, Nanjing 210093, People's Republic of China;Department of Mathematics, Nanjing University, Nanjing 210093, People's Republic of China
Venue:
Journal of Combinatorial Theory Series A
Year:
2009

Citing 4
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Abstract

Let A"1,...,A"n be finite subsets of a field F, and letf(x"1,...,x"n)=x"1^k+...+x"n^k+g(x"1,...,x"n)@?F[x"1,...,x"n] with deggx"j if ij}. The result extends the Erdos-Heilbronn conjecture in a new way.