Result: On some weighted zero-sum constants

Title:
On some weighted zero-sum constants
Authors:
Chintamani, Mohan N., Paul, Prabal
Source:
International Journal of Number Theory. 13:301-308
Publisher Information:
World Scientific Pub Co Pte Lt, 2017.
Publication Year:
2017
Subject Terms:
Inverse problems of additive number theory, including sumsets, Other combinatorial number theory, 0102 computer and information sciences, 0101 mathematics, zero-sum problems, 16. Peace & justice, 01 natural sciences, Sequences (mod \(m\)), inverse zero-sum problems
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
1793-7310
1793-0421
DOI:
10.1142/s1793042117500191
Access URL:
https://zbmath.org/6691743
https://doi.org/10.1142/s1793042117500191
Accession Number:
edsair.doi.dedup.....4abaa7dfa96a0ffb1fc0c042dc8cbb0b
Database:
OpenAIRE

Further Information

Let [Formula: see text] be a finite abelian group with exponent exp[Formula: see text]. Let [Formula: see text]. The constant [Formula: see text] is defined as the least positive integer [Formula: see text] such that for any given sequence [Formula: see text] of elements of [Formula: see text] with length [Formula: see text] it has a [Formula: see text] length [Formula: see text]-weighted zero-sum subsequence. In this article, we obtain the exact value of [Formula: see text] for [Formula: see text] and an upper bound for the case [Formula: see text], where [Formula: see text] is an odd prime, [Formula: see text] is an odd integer and [Formula: see text]. We also obtain the structural information on the extremal zero-sum free sequences.