Date & Time: Monday, November 2, 2015, 16:00- 17:00.
Venue: Ramanujan Hall

Title: On a modification of Griffiths' method

Speaker:Eshita Mazumdar, Harish-Chandra Research Institute, Allahabad

Abstract: For a finite abelian group G with exp(G) = n, and a non-empty set A ; [1, n - 1] arithmetical invariant s_A(G) is defined to be the least integer k such that any sequence S with length k of elements in G has a A-weighted zero-sum subsequence of length n. When A = {1}, it is the Erdos-Ginzburg-Ziv constant and is denoted by s(G). In my talk I would like to present modification of a method of Griffiths ([1]) over a cyclic group $ \mathbb{Z}_n $. It has been observed by doing that we are able to provide some bounds on some particular constants of above types.

References [1] S. D. Adhikari, E. Mazumdar, Modification of some methods in the study of zero-sum constant, Integers 14 (2014), paper A 25.