Exact formula for cubic partitions
Number Theory
2023-05-08 v1
Authors:
Lukas Mauth
Abstract
We obtain an exact formula for the cubic partition function and prove a conjecture by Banerjee, Paule, Radu and Zeng.
Cite
@article{arxiv.2305.03396,
title = {Exact formula for cubic partitions},
author = {Lukas Mauth},
journal= {arXiv preprint arXiv:2305.03396},
year = {2023}
}
Related papers
View all related →
Number Theory · Mathematics
The number of cubic partitions modulo powers of 5
Xinhua Xiong
2016-05-31
Number Theory · Mathematics
On Explicit Formula for Restricted Partition Function
Boris Y. Rubinstein
2007-05-23
Number Theory · Mathematics
Congruences for the Number of Cubic Partitions Derived from Modular Forms
William Y. C. Chen, Bernard L. S. Lin
2009-10-08
Number Theory · Mathematics
Arithmetic properties for cubic partition pairs modulo powers of 3
Shane Chern
2017-10-31
Number Theory · Mathematics
Some results on the cubic partition
Prabir Das Adhikary, Koustav Banerjee, Manosij Ghosh Dastidar
2017-01-02
Number Theory · Mathematics
Arithmetic Properties of Generalized Cubic and Overcubic Partitions
Hirakjyoti Das, Saikat Maity, Manjil P. Saikia
2026-04-29
Number Theory · Mathematics
Further Arithmetic Properties of Overcubic Partition Triples
Manjil P. Saikia, Abhishek Sarma
2025-09-10
Number Theory · Mathematics
A congruence family modulo powers of 5 for generalized cubic partitions via the localization method
Dalen Dockery
2025-08-11
Number Theory · Mathematics
Rademacher-type exact formula and higher order Tur\'{a}n inequalities for cubic overpartitions
Archit Agarwal, Meghali Garg, Bibekananda Maji
2025-09-30
Number Theory · Mathematics
Explicit Formulas for Partition Pairs and Triples with 3-Cores
Liuquan Wang
2015-07-14
Number Theory · Mathematics
A note on congruences for generalized cubic partitions modulo primes
Russelle Guadalupe
2025-03-03
Number Theory · Mathematics
Exact Formulae for the Fractional Partition Functions
Jonas Iskander, Vanshika Jain, Victoria Talvola
2020-02-18
Number Theory · Mathematics
Generalized cubic partitions
Tewodros Amdeberhan, Ajit Singh
2024-05-01
Number Theory · Mathematics
Some congruences for $3$-core cubic bipartitions
Russelle Guadalupe
2023-12-12
Number Theory · Mathematics
Quadratic forms and four partition functions modulo 3
Jeremy Lovejoy, Robert Osburn
2021-02-03
Combinatorics · Mathematics
Combinatorial Formula for the Partition Function
Zhumagali Shomanov
2016-05-10
Number Theory · Mathematics
On Ramanujan's cubic composition formula
Valentin Ovsienko
2021-10-05
Number Theory · Mathematics
Arithmetic properties for generalized cubic partitions and overpartitions modulo a prime
Tewodros Amdeberhan, James A. Sellers, Ajit Singh
2025-05-19
Mathematical Physics · Physics
Fourier formula for quantum partition functions
Andras Suto
2023-05-05
Combinatorics · Mathematics
A conjecture about partitions
Michel Lassalle
2007-05-23
Number Theory · Mathematics
Congruences and recursions for the cubic partition
Shane Chern, Manosij Ghosh Dastidar
2017-02-14
Number Theory · Mathematics
Congruences for Broken k-Diamond Partitions
Marie Jameson
2011-04-29
Metric Geometry · Mathematics
A quantitative program for Hadwiger's covering conjecture and Borsuk's partition conjecture
Chuanming Zong
2010-07-14
Algebraic Geometry · Mathematics
Explicit Formula for Witten-Kontsevich Tau-Function
Jian Zhou
2013-06-25
Number Theory · Mathematics
A determinant formula for the partition function p(7k + a)
Jerome Malenfant
2011-06-17