Abstract.
ΠΣ-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 ΠΣ-fields. In particular we consider product representations and their simplifications in ΠΣ-fields.
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Received July 09, 2003
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Schneider, C. Product Representations in ΠΣ-Fields. Ann. Comb. 9, 75–99 (2005). https://doi.org/10.1007/s00026-005-0242-2
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DOI: https://doi.org/10.1007/s00026-005-0242-2