Cover Image

A bijection proof of Andrews-Merca integer partition theorem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Liu, Ji-Cai
Format:	Preprint
Published:	2024
Subjects:	Combinatorics Number Theory 05A17, 05A19
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Combinatorial proofs of several partition identities of Andrews and Merca
by: Liu, Ji-Cai, et al.
Published: (2024)

A combinatorial approach to Berkovich type identities
by: Liu, Ji-Cai
Published: (2024)

Bijections and congruences involving lattice paths and integer compositions
by: Dastidar, Manosij Ghosh, et al.
Published: (2024)

A bijective proof of an identity of Berkovich and Uncu
by: Dhar, Aritram, et al.
Published: (2023)

On $\ell$-regular partitions and Hickerson's identity
by: Liu, Ji-Cai
Published: (2024)

A bijective proof of Andrews' refinement of the Alladi-Schur theorem
by: Alamoudi, Yazan
Published: (2024)

Basis partitions and their signature
by: Alladi, Krishnaswami
Published: (2025)

$q$-Binomial expansions of the truncated MacMahon's $q$-series
by: Liu, Ji-Cai
Published: (2025)

Hook-Length Biases in $t$-regular partitions
by: Saikia, Manjil P., et al.
Published: (2026)

A general positivity result on coefficients of certain $q$-series
by: Liu, Ji-Cai
Published: (2024)

Andrews--Gordon and Stanton type identities: bijective and Bailey lemma approaches
by: Dousse, Jehanne, et al.
Published: (2025)

A generalization of conjugation of integer partitions
by: Albion, Seamus, et al.
Published: (2024)

Separable integer partition classes and Slater's list -- I
by: Dhar, Aritram, et al.
Published: (2026)

Three more proofs of two congruences for Merca's partition function
by: Zanello, Fabrizio
Published: (2025)

Congruences for hook lengths of partitions
by: Jouhet, Frédéric, et al.
Published: (2025)

Applications of Faà di Bruno's formula to partition traces
by: Matsusaka, Toshiki
Published: (2025)

Combinatorial proofs of inequalities involving the number of partitions with parts separated by parity
by: Ballantine, Cristina, et al.
Published: (2024)

Combinatorial Extensions on Andrews and El Bachraoui's Almost-Distinct Partitions
by: Hopkins, Brian
Published: (2025)

On the positive coefficients of two families of $q$-series
by: Liu, Ji-Cai, et al.
Published: (2024)

Combinatorial approach to Andrews-Gordon and Bressoud type identities
by: Dousse, Jehanne, et al.
Published: (2024)

Fixed perimeter analogues of some partition results
by: Gray, Gabriel, et al.
Published: (2025)

Arndt and Carlitz Compositions
by: Hopkins, Brian, et al.
Published: (2025)

Andrews--Gordon type identities with parity restrictions through particle motion
by: Dousse, Jehanne, et al.
Published: (2026)

Two-color partitions and overpartitions: a combinatorial proof
by: Bugleev, Anton
Published: (2025)

Finite analogs of partition bias related to hook length two and a variant of Sylvester's map
by: Berkovich, Alexander, et al.
Published: (2025)

Extending Andrews and Newman's refinement of the crank-mex theorem
by: Andrews, George E., et al.
Published: (2025)

On new minimal excludants of overpartitions related to some $q$-series of Ramanujan
by: Dhar, Aritram, et al.
Published: (2024)

Truncated Theta Series Related to the Jacobi Triple Product Identity
by: Ballantine, Cristina, et al.
Published: (2024)

Overpartitions with repeated smallest non-overlined part
by: Malik, Amita, et al.
Published: (2026)

A proposed crank for $(k+j)$-colored partitions, with $j$ colors having distinct parts
by: Wilson, Samuel
Published: (2024)

Do perfect powers repel partition numbers?
by: Merca, Mircea, et al.
Published: (2025)

Arithmetic properties of $(\ell,m)$-regular colored partitions
by: N., Yashas, et al.
Published: (2025)

Enumeration modulo 4 of overpartitions wherein only even parts can be overlined
by: Carlson, Aidan, et al.
Published: (2024)

An Orthogonal View of Gaußian Polynomials
by: Krattenthaler, Christian, et al.
Published: (2025)

On partitions with bounded largest part and fixed integral GBG-rank modulo primes
by: Berkovich, Alexander, et al.
Published: (2023)

Elementary symmetric polynomials and a potentially injective family of maps on partitions
by: Devnani, Aman, et al.
Published: (2026)

Some elementary remarks on the powers of a partial theta function and corresponding q-analogs of the binomial coefficients
by: Cigler, Johann
Published: (2024)

A bijection between symmetric plane partitions and quasi transpose complementary plane partitions
by: Inoue, Takuya
Published: (2025)

Convolutive sequences, I: Through the lens of integer partition functions
by: Chern, Shane, et al.
Published: (2025)

Elementary symmetric partitions
by: Ballantine, Cristina, et al.
Published: (2024)