Geometric progressions in sumsets over finite fields
โ Scribed by Omran Ahmadi; Igor E. Shparlinski
- Publisher
- Springer Vienna
- Year
- 2007
- Tongue
- English
- Weight
- 96 KB
- Volume
- 152
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For a prime p, a subset S of Z p is a sumset if S = A+A for some A โ Z p . Let f (p) denote the maximum integer so that every subset S โ Z p of size at least pf (p) is a sumset. The question of determining or estimating f (p) was raised by Green. He showed that for all sufficiently large p, f (p) 1
to helmut wielandt for his 90th birthday with much respect and many congratulations , where m X t is its minimal polynomial and c X t is its characteristic polynomial det tI -X . This condition is equivalent to requiring the vector space F d of 1 ร d row vectors over F to be cyclic as an F X -modul