6-regular partitions: new combinatorial properties, congruences, and linear inequalities
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Publication:6085332
DOI10.1007/s13398-023-01492-warXiv2302.01253MaRDI QIDQ6085332
Mircea Merca, Cristina M. Ballantine
Publication date: 8 November 2023
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.01253
Combinatorial identities, bijective combinatorics (05A19) Combinatorial inequalities (05A20) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)
Cites Work
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- New congruences for \(\ell \)-regular partitions for \(\ell \in \{5,6,7,49\}\)
- Arithmetic properties of \(\ell\)-regular partitions
- The truncated pentagonal number theorem
- Parity results for 9-regular partitions
- Quadratic forms and congruences for \(\ell\)-regular partitions modulo 3, 5 and 7
- A generalization of Euler's pentagonal number recurrence for the partition function
- Arithmetic of the 13-regular partition function modulo 3
- Arithmetic properties of partitions with even parts distinct
- Congruences for \(\ell\)-regular partition functions modulo 3
- Congruences for 5-regular partitions modulo powers of 5
- The \(p^{a}\)-regular partition function modulo \(p^{j}\)
- Infinite families of infinite families of congruences for \(k\)-regular partitions
- \(l\)-divisibility of \(l\)-regular partition functions
- Combinatorial proofs of two truncated theta series theorems
- Asymptotically trivial linear homogeneous partition inequalities
- Truncated theta series and a problem of Guo and Zeng
- Fast algorithm for generating ascending compositions
- Two truncated identities of Gauss
- Arithmetic properties of 7-regular partitions
- Polygonal numbers and Rogers-Ramanujan-Gordon theorem
- On the number of partitions into parts not congruent to \(0, \pm 3\pmod{12}\)
- PED and POD partitions: combinatorial proofs of recurrence relations
- Linear inequalities concerning partitions into distinct parts
- The minimal excludant and colored partitions
- Generalized Lambert series and Euler's pentagonal number theorem
- On the computation of identities relating partition numbers in arithmetic progressions with eta quotients: an implementation of Radu's algorithm
- Truncated sums for the partition function and a problem of Merca
- A truncated theta identity of Gauss and overpartitions into odd parts
- A general method for proving the non-trivial linear homogeneous partition inequalities
- On the number of even parts in all partitions of \(n\) into distinct parts
- Congruences for some \(l\)-regular partitions modulo \(l\)
- Almost 3-regular overpartitions
- Combinatorial proof of the minimal excludant theorem
- ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS
- ON THE SUM OF PARTS IN THE PARTITIONS OF n INTO DISTINCT PARTS
- On the sum of parts with multiplicity at least 2 in all the partitions of n
- On Two Truncated Quintuple Series Theorems
- On the partitions into distinct parts and odd parts
- Truncated Theta Series and Rogers-Ramanujan Functions
- ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
- On identities of Watson type
- On Watson’s quintuple product identity
- A Simple Proof of the Quintuple Product Identity
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