Classification theorems for sumsets modulo a prime

Details Classification theorems for sumsets modulo a prime Classification theorems for sumsets modulo a prime

2008-11-09

arxiv.org/abs/0811.1310v2

Mathematics

Combinatorics

35 pages, to appear in JCT A

Scientific paper

Let $\Z/pZ$ be the finite field of prime order $p$ and $A$ be a subsequence of $\Z/pZ$. We prove several classification results about the following questions: (1) When can one represent zero as a sum of some elements of $A$ ? (2) When can one represent every element of $\Z/pZ$ as a sum of some elements of $A$ ? (3) When can one represent every element of $\Z/pZ$ as a sum of $l$ elements of $A$ ?

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