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The parity of the Zeckendorf sum-of-digits function

✍ Scribed by Michael Drmota; Mariusz Skałba

Publisher
Springer
Year
2000
Tongue
English
Weight
170 KB
Volume
101
Category
Article
ISSN
0025-2611

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The aim of this paper is to provide detailed estimates for the discrepancy of the sequences ([: } s q (n)]) ([x] denotes the fractional part of x) and results concerning the uniform distribution and the discrepancy of the sequences ([: 1 } s q 1 (n)], ..., [: d } s q d (n)]), where :, : 1 , ..., : d

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Canonical number systems are the natural generalization of q-adic number systems to number fields. Such number systems admit a certain representation of each algebraic integer of a given number field with respect to the powers of a given base number b. The aim of this paper is to study the sum of di