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On the distribution of the summands of partitions in residue classes

✍ Scribed by Cécile Dartyge; András Sárközy; Mihály Szalay

Publisher
Akadmiai Kiad
Year
2005
Tongue
English
Weight
193 KB
Volume
109
Category
Article
ISSN
1588-2632

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On the Joint Distribution ofq-Additive F
On the Joint Distribution ofq-Additive Functions in Residue Classes
✍ Dong-Hyun Kim 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 204 KB

Let S q (n) denote the sum of digits of n in base q. For given pairwise coprime bases q 1 , ..., q l and arbitrary residue classes a i mod m i (i=1, ..., l), we obtain an estimate with error term O(N 1&$ ) for the quantity which extends results of J. Be sineau and establishes a conjecture of A. O.