The Complexity of the A B C Problem

-fields are a very general class of difference fields that enable one to discover and prove multisum identities arising in combinatorics and special functions. In this article we focus on the problem how such multisums can be represented in terms of -fields. In particular we consider product representations and their simplifications in -fields.

• Type: Journal
• Year: 2000
• Where: SIAMCOMP
• Authors: Jin-yi Cai, Richard J. Lipton, Yechezkel Zalcstein
• Keywords: Difference Fields, General Class, SIAMCOMP 2000, Special Functions