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
Bengaluru-560019
India

B. Hemanthkumar
Department of Mathematics
RV College of Engineering
RV Vidyanikethan Post, Mysuru Road
Bengaluru-560059
India

Abstract:

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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