On a Generalization of Farey Sequences, II
β Scribed by F. Delmer; J.M. Deshouillers
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 230 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
β¦ Synopsis
A generalization of Farey sequences to quadratic irrational numbers is given, for which the (fundamental) discriminant property of Farey sequences is shown to hold on average. This is the first positive result connected with a phenomenon observed by H. Brown and K. Mahler more than 20 years ago. 1995 Academic Press. inc.
π SIMILAR VOLUMES
The authors give a survey of their papers on additive properties of general sequences and they prove several further results on the range of additive representation functions and on difference sets. Many related unsolved problems are discussed. . The set of the integers, nonnegative integers, resp.