| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4593300 | Journal of Number Theory | 2016 | 7 Pages |
Abstract
Let S=(a1)â¯(ak) be a minimal zero-sum sequence over a finite cyclic group G. The index conjecture states that if k=4 and gcdâ¡(|G|,6)=1, then S has index 1. In this note we study the index conjecture and connect it to a Dedekind-type sum. In particular we reprove a special case of the conjecture when |G| is prime.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Fan Ge,