Proof of a conjecture of Ballantine and Merca on truncated sums of 6-regular partitions

DOI10.1016/J.JCTA.2024.105903zbMATH Open1541.05014MaRDI QIDQ6543056

Olivia X. M. Yao

Publication date: 24 May 2024

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

partitionstruncated sumsregular partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Cites Work

• Title not available (Why is that?)
• The truncated pentagonal number theorem
• A truncated Jacobi triple product theorem
• Proofs of two conjectures on truncated series
• Truncated theta series and a problem of Guo and Zeng
• Two truncated identities of Gauss
• Truncated Jacobi triple product series
• New truncated theorems for three classical theta function identities
• Truncated sums for the partition function and a problem of Merca
• A truncated theta identity of Gauss and overpartitions into odd parts
• Truncated versions of three identities of Euler and Gauss
• On Two Truncated Quintuple Series Theorems
• Truncated Theta Series and Rogers-Ramanujan Functions
• Truncated sums for certain restricted partition functions and transformation formulas for basic hypergeometric series
• 6-regular partitions: new combinatorial properties, congruences, and linear inequalities

Related Items (4)

Positivity and tails of pentagonal number series ⋮ Truncated theta series related to the Jacobi triple product identity ⋮ Proofs of some conjectures of Merca on truncated series involving the Rogers-Ramanujan functions ⋮ Some conjectures of Ballantine and Merca on truncated sums and the minimal excludant in congruences classes

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