Partitions of natural numbers with the same weighted representation functions
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Publication:455812
DOI10.1016/j.jnt.2012.06.005zbMath1251.05012OpenAlexW2016650646MaRDI QIDQ455812
Publication date: 22 October 2012
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2012.06.005
Other combinatorial number theory (11B75) Elementary theory of partitions (11P81) Representation functions (11B34)
Related Items (11)
On certain properties of partitions of \(\mathbb{Z}^m\) with the same representation function. II ⋮ Integer sets with identical representation functions. II ⋮ On the structure of sets in a residue class ring with the same representation function ⋮ Partitions of \(\mathbb Z_m\) with the same weighted representation functions ⋮ Partitions of finite nonnegative integer sets with identical representation functions ⋮ Unnamed Item ⋮ REPRESENTATION FUNCTIONS ON ABELIAN GROUPS ⋮ A remark on weighted representation functions ⋮ A note on representation functions with different weights ⋮ On the structure of partition which the difference of their representation function is a constant ⋮ ON INTEGER SETS WITH THE SAME REPRESENTATION FUNCTIONS
Cites Work
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- Partitions of natural numbers with the same representation functions
- Problems and results on additive properties of general sequences. V
- On additive properties of general sequences
- Reconstructing integer sets from their representation functions
- Partitions of the set of natural numbers and their representation functions
- On a question of Sárkozy and Sós for bilinear forms
- On additive properties of two special sequences
- Additive properties of certain sets
- An Application of Generating Series
- On the monotonicity properties of additive representation functions
- On the values of representation functions
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