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Ubiquity of simplices in subsets of vector spaces over finite fields

✍ Scribed by Derrick Hart; Alex Iosevich


Publisher
Springer
Year
2008
Tongue
English
Weight
174 KB
Volume
34
Category
Article
ISSN
0133-3852

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πŸ“œ SIMILAR VOLUMES


Fermat Curves over Finite Fields and Cyc
✍ GΓ‘bor KorchmΓ‘ros; TamΓ‘s SzΕ‘nyi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 129 KB

Let GF(q) be the Galois field of order q"pF, and let m53 be an integer. An explicit formula for the number of GF(qK)-rational points of the Fermat curve XL#Β½L#ZL"0 is given when n divides (qK!1)/(q!1) and p is sufficiently large with respect to (qK!1)/(n(q!1)).