Classification theorems for sumsets modulo a prime |
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Authors: | Hoi H Nguyen |
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Institution: | Department of Mathematics, Rutgers University, 110 Frelinghuysen rd., Piscataway, NJ 08854, USA |
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Abstract: | Let Zp be the finite field of prime order p and A be a subsequence of Zp. 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 Zp as a sum of some elements of A?(3) When can one represent every element of Zp as a sum of l elements of A? |
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Keywords: | Sumset Subset sums |
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