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Integral point sets in higher dimensional affine spaces over finite fields

✍ Scribed by Sascha Kurz; Harald Meyer

Book ID
108167270
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
300 KB
Volume
116
Category
Article
ISSN
0097-3165

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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#½L#ZL"0 is given when n divides (qK!1)/(q!1) and p is sufficiently large with respect to (qK!1)/(n(q!1)).