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Partitions into Segal--Piatetski--Shapiro sequences

Partitions into Segal--Piatetski--Shapiro sequences

Abstract Note: Please see pdf for full abstract with equations. Let κ be any positive real number and m ∈ N ∪ {∞} be given. Let p κ,m (n) denote the number of partitions of n into the parts from the Segal-Piatestki-Shapiro sequence ([ℓ κ ]) ℓ∈N with at most …