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A generalization of the Hall’s sextic residue sequences

✍ Scribed by Du, Xiaoni; Chen, Zhixiong


Book ID
123470587
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
255 KB
Volume
222
Category
Article
ISSN
0020-0255

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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. 199