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Beta-expansion and continued fraction expansion

✍ Scribed by Bing Li; Jun Wu


Book ID
108176006
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
156 KB
Volume
339
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES


Ankeny–Artin–Chowla Conjecture and Conti
✍ RyΕ«ta Hashimoto πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 115 KB

For any prime p congruent to 1 modulo 4, let (t+u -p)Γ‚2 be the fundamental unit of Q(p). Then Ankeny, Artin, and Chowla conjectured that u is not divisible by p. In this paper, we investigate a certain relation between the conjecture and the continued fraction expansion of (1+p)Γ‚2. Consequently, we