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Finite dimensional semigroup quadratic algebras with the minimal number of relations

✍ Scribed by Natalia Iyudu, Stanislav Shkarin

Book ID
118012108
Publisher
Springer Vienna
Year
2011
Tongue
English
Weight
220 KB
Volume
168
Category
Article
ISSN
0026-9255

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Quadratic algebraic numbers with finite
Quadratic algebraic numbers with finite b-adic expansion on the unit circle and their distribution
✍ Gerhard Dorfer; Robert F. Tichy πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 228 KB πŸ‘ 1 views

## Abstract We consider elements __x__ + __y__$ \sqrt {-m} $ in the imaginary quadratic number field β„š($ \sqrt {-m} $) such that the norm __x__^2^ + __my__^2^ = 1 and both __x__ and __y__ have a finite __b__–adic expansion for an arbitrary but fixed integer base __b__. For __m__ = 2, 3, 7 and 11 a