Bibliographic Details
| Title: |
When subset-sums do not cover all the residues modulo p |
| Authors: |
Deshouillers, Jean-Marc1 jean-marc.deshouillers@math.u-bordeaux.fr, Freiman, Gregory A.2 grisha@math.tau.ac.il |
| Source: |
Journal of Number Theory. Feb2004, Vol. 104 Issue 2, p255. 8p. |
| Subjects: |
Inverse problems, Number theory, Prime numbers, Automorphisms |
| Abstract: |
Let c>√ of 2. We prove that a subset A of Z/pZ, where p is a prime number, with cardinality larger than cp. We prove that a subset A of Z/pZ, where p is a prime number, with cardinality larger than c√ of p such that its subset sums do not cover Z/pZ has an automorphic image which is rather concentrated; more precisely, there exists s prime to p such that∑lower limit a∈A as/p<1+O(p−1/4 ln p). [Copyright &y& Elsevier] |
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| Database: |
Engineering Source |
