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On a conjecture of Chowla and Chowla

✍ Scribed by N.M. Stephens


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
87 KB
Volume
9
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES


Proof of a conjecture of S. Chowla
✍ Aimo TietΓ€vΓ€inen πŸ“‚ Article πŸ“… 1975 πŸ› Elsevier Science 🌐 English βš– 134 KB
On a problem of Chowla
✍ A Baker; B.J Birch; E.A Wirsing πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 539 KB
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