Asymptotic Normality of b-Additive Functions on Polynomial Sequences in the Gaussian Number Field-Reference-Cited by-同舟云学术

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Asymptotic Normality of b-Additive Functions on Polynomial Sequences in the Gaussian Number Field

Published:2000-10 Issue:2 Volume:84 Page:317-341
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Gittenberger Bernhard,Thuswaldner Jörg M

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference24 articles.

1. Distribution of the values of q-additive functions on polynomial sequences;Bassily;Acta Math. Hungar.,1995

2. Sur la fonction sommatoire de la fonction “somme des chiffres”;Delange;Enseign. Math.,1975

3. The distribution of the sum-of-digits function;Drmota;J. Théor. Nombres Bordeaux,1998

4. Sequences, Discrepancies and Applications;Drmota,1998

5. Gaussian asymptotic properties of the sum-of-digits function;Dumont;J. Number Theory,1997

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Thue–Morse and Rudin–Shapiro sequences at primes in principal number fields;Acta Mathematica Hungarica;2020-03-30

2. Distribution of the sum-of-digits function of random integers: A survey;Probability Surveys;2014-01-01

3. Asymptotic normality of additive functions on polynomial sequences in canonical number systems;Journal of Number Theory;2011-09

4. The sum of digits of Gaussian primes;The Ramanujan Journal;2011-05-26

5. The sum of digits of squares in Z[i];Journal of Number Theory;2010-07

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