Some conjectures of Ballantine and Merca on truncated sums and the minimal excludant in congruences classes
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Publication:6650526
DOI10.1016/J.JCTA.2024.105967MaRDI QIDQ6650526
Publication date: 9 December 2024
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
partitiontheta function identitiestruncated sumspartition-theoretic interpretationsthe minimal excludant
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
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
- Bilateral truncated Jacobi's identity
- Concave compositions
- Truncated series from the quintuple product identity
- Analysis of some new partition statistics
- Combinatorial proofs of two truncated theta series theorems
- Truncated theta series and a problem of Guo and Zeng
- Two truncated identities of Gauss
- Truncated Jacobi triple product series
- Partitions and the minimal excludant
- New truncated theorems for three classical theta function identities
- Infinite families of Hecke-Rogers type series and their truncated representations
- Combinatorial perspectives on the Crank and mex partition statistics
- Truncated sums for Hecke-Rogers type identities and Andrews-Hickerson's Bailey pair
- A further look at cubic partitions
- Dyson's crank and the mex of integer partitions
- Truncated sums for the partition function and a problem of Merca
- A truncated theta identity of Gauss and overpartitions into odd parts
- Truncated Hecke-Rogers type series
- New combinatorial interpretations for the partitions into odd parts greater than one
- Combinatorial proof of the minimal excludant theorem
- Overpartitions
- Truncated versions of three identities of Euler and Gauss
- On Two Truncated Quintuple Series Theorems
- Truncated Theta Series and Rogers-Ramanujan Functions
- A further look at the truncated pentagonal number theorem
- Truncated sums for certain restricted partition functions and transformation formulas for basic hypergeometric series
- Two conjectures of Andrews, Merca and Yee on truncated theta series
- Proof of a conjecture of Ballantine and Merca on truncated sums of 6-regular partitions
- Positivity and tails of pentagonal number series
- Proofs of some conjectures of Merca on truncated series involving the Rogers-Ramanujan functions
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