Journal of Integer Sequences, Vol. 26 (2023), Article 23.6.8

Partition-Theoretic Interpretation for Certain Truncated Series

D. S. Gireesh
Department of Mathematics
B. M. S. College of Engineering, Affiliated to VTU

B. Hemanthkumar
Department of Mathematics
RV College of Engineering
RV Vidyanikethan Post, Mysuru Road


We obtain generating functions for two new partition functions and provide partition-theoretic interpretations of the truncated pentagonal number theorem and two identities of Gauss.

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(Concerned with sequences A000009 A000041 A015128.)

Received April 11 2023; revised versions received April 14 2023; July 11 2023. Published in Journal of Integer Sequences, July 21 2023.

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