Positivity and tails of pentagonal number series
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Publication:6612121
DOI10.1016/J.JCTA.2024.105933zbMATH Open1548.05041MaRDI QIDQ6612121
Publication date: 30 September 2024
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)
Cites Work
- Title not available (Why is that?)
- 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
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- New truncated theorems for three classical theta function identities
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- A further look at cubic partitions
- Truncated Hecke-Rogers type series
- Analytic and combinatorial generalizations of the Rogers-Ramanujan identities
- An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
- Truncated versions of three identities of Euler and Gauss
- On Two Truncated Quintuple Series Theorems
- On the partitions into distinct parts and odd parts
- Truncated Theta Series and Rogers-Ramanujan Functions
- 6-regular partitions: new combinatorial properties, congruences, and linear inequalities
- Proof of a conjecture of Ballantine and Merca on truncated sums of 6-regular partitions
Related Items (3)
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 ⋮ A conjecture of Merca on nonnegativity of theta series
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