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| A Generalization of Vosper’s Theorem |
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Citation： |
Yujie WANG,Min TANG.A Generalization of Vosper’s Theorem[J].Chinese Annals of Mathematics B,2024,45(5):767~776 |
| Page view： 113
Net amount： 80 |
Authors： |
Yujie WANG; Min TANG |
Foundation： |
the National Natural Science Foundation of China (Nos. 12101007,
12371003) and the Natural Science Foundation of Anhui Province (No. 2008085QA06). |
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| Abstract： |
Let Z/mZ be the ring of residual classes modulo m, and let A and B be
nonempty subsets of Z/mZ. In this paper, the authors give the structure of A and B for
which |A + B| = |A| + |B| ? 1 = m ? 2. |
Keywords： |
Sumsets, Inverse problem, Vosper’s theorem, Kemperman’s theorem |
Classification： |
11B13 |
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