New combinatorial interpretations for the partitions into odd parts greater than one

DOI10.11650/tjm/220902OpenAlexW4295289498MaRDI QIDQ2687232

Mircea Merca, Cristina M. Ballantine

Publication date: 1 March 2023

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/taiwanese-journal-of-mathematics/volume-27/issue-1/New-Combinatorial-Interpretations-for-the-Partitions-into-Odd-Parts-Greater/10.11650/tjm/220902.full

zbMATH Keywords

partitionstheta seriestheta products

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial inequalities (05A20) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Fast computation of the partition function
• The truncated pentagonal number theorem
• A truncated Jacobi triple product theorem
• Truncated theta series and a problem of Guo and Zeng
• Parity of sums of partition numbers and squares in arithmetic progressions
• Monotonicity of partition functions
• Overpartitions
• A Simple Proof of the Quintuple Product Identity

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