Congruences modulo arbitrary powers of $5$ and $7$ for Andrews and Paule's partition diamonds with $(n+1)$ copies of $n$
Fuente:
arXiv
Saved in:
| Main Authors: | Du, Julia Q. D., Yao, Olivia X. M. |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Congruences modulo powers of $7$ for $k$-elongated plane partitions
by: Chen, Dandan, et al.
Published: (2025)
by: Chen, Dandan, et al.
Published: (2025)
Congruences modulo powers of 2 and 3 for overpartition $k$-tuples
by: Keerthana, G. Kavya, et al.
Published: (2025)
by: Keerthana, G. Kavya, et al.
Published: (2025)
Congruences modulo powers of $3$ for $6$-colored generalized Frobenius partitions
by: Chen, Dandan, et al.
Published: (2025)
by: Chen, Dandan, et al.
Published: (2025)
Congruences modulo powers of $3$ for generalized Frobenius partitions $CΨ_{6,0}$
by: Chen, Dandan, et al.
Published: (2025)
by: Chen, Dandan, et al.
Published: (2025)
Congruences modulo powers of $2$ for three restricted partition functions of Pushpa and Vasuki
by: Guadalupe, Russelle
Published: (2026)
by: Guadalupe, Russelle
Published: (2026)
Congruence properties modulo prime powers for a class of partition functions
by: Boylan, Matthew, et al.
Published: (2024)
by: Boylan, Matthew, et al.
Published: (2024)
Congruences modulo $7$ and $11$ for certain two restricted partition functions
by: Guadalupe, Russelle
Published: (2025)
by: Guadalupe, Russelle
Published: (2025)
On $7^k$-regular partitions modulo powers of $7$
by: Gireesh, D. S., et al.
Published: (2025)
by: Gireesh, D. S., et al.
Published: (2025)
Proofs of two conjectures on congruences of overcubic partition triples
by: Chen, Jiayu, et al.
Published: (2025)
by: Chen, Jiayu, et al.
Published: (2025)
A conjecture of Radu and Sellers on congruences modulo powers of 2 for broken 3-diamond partitions
by: Chen, Dandan, et al.
Published: (2024)
by: Chen, Dandan, et al.
Published: (2024)
Linking Congruences for PED and POD partitions
by: Dockery, Dalen, et al.
Published: (2025)
by: Dockery, Dalen, et al.
Published: (2025)
Congruences like Atkin's for generalized Frobenius partitions
by: Ahlgren, Scott, et al.
Published: (2025)
by: Ahlgren, Scott, et al.
Published: (2025)
On the distribution of $αp^2$ modulo one over primes of the form $[n^c]$
by: Dimitrov, S. I., et al.
Published: (2025)
by: Dimitrov, S. I., et al.
Published: (2025)
A congruence family modulo powers of 5 for generalized cubic partitions via the localization method
by: Dockery, Dalen
Published: (2025)
by: Dockery, Dalen
Published: (2025)
The $k$-elongated plane partition function modulo small powers of $5$
by: Guadalupe, Russelle
Published: (2025)
by: Guadalupe, Russelle
Published: (2025)
Sums of binomial coefficients modulo $p$ and groups of exponent $p^n$
by: Szechtman, Fernando
Published: (2024)
by: Szechtman, Fernando
Published: (2024)
Congruences modulo powers of $5$ and $7$ for the crank and rank parity functions and related mock theta functions
by: Chen, Dandan, et al.
Published: (2024)
by: Chen, Dandan, et al.
Published: (2024)
On the total number of ones associated with cranks of partitions modulo 11
by: Chen, Dandan, et al.
Published: (2024)
by: Chen, Dandan, et al.
Published: (2024)
Matrix Kloosterman sums modulo prime powers
by: Erdélyi, Márton, et al.
Published: (2022)
by: Erdélyi, Márton, et al.
Published: (2022)
Closed formulas for the factorization of $X^n-1$, the $n$-th cyclotomic polynomial, $X^n-a$ and $f(X^n)$ over a finite field for arbitrary positive integers $n$
by: Graner, Anna-Maurin
Published: (2023)
by: Graner, Anna-Maurin
Published: (2023)
Scarcity of partition congruences on semiprime progressions
by: Ahlgren, Scott, et al.
Published: (2025)
by: Ahlgren, Scott, et al.
Published: (2025)
Proof of a conjecture of Banerjee,Bringmann and Bachraoui on infinite families of congruences
by: Sun, Junjie, et al.
Published: (2026)
by: Sun, Junjie, et al.
Published: (2026)
Arithmetic properties for generalized cubic partitions and overpartitions modulo a prime
by: Amdeberhan, Tewodros, et al.
Published: (2024)
by: Amdeberhan, Tewodros, et al.
Published: (2024)
Optimal Farey sequence for the Congruence subgroup $Γ_0(2^{n})$
by: Doan, Nhat Minh, et al.
Published: (2026)
by: Doan, Nhat Minh, et al.
Published: (2026)
Periodicity of traces of Hecke operators modulo prime powers
by: Bergström, Jonas, et al.
Published: (2026)
by: Bergström, Jonas, et al.
Published: (2026)
Modular Nahm sums for symmetrizable matrices of indices $({2,\ldots, 2},1)$ and $({1,\ldots, 1},2)$
by: Du, Julia Q. D., et al.
Published: (2026)
by: Du, Julia Q. D., et al.
Published: (2026)
An identity relating $n$-nacci numbers, partitions, and products of binomial coefficients
by: Dragutinović, Dušan
Published: (2026)
by: Dragutinović, Dušan
Published: (2026)
On $\ell-$regular and $2-$color partition triples modulo powers of $3$
by: Hemanthkumar, B., et al.
Published: (2025)
by: Hemanthkumar, B., et al.
Published: (2025)
Criteria for the integrality of $n$th roots of power series
by: Pomerat, John, et al.
Published: (2024)
by: Pomerat, John, et al.
Published: (2024)
Limiting density of the Fibonacci sequence modulo powers of a prime
by: Bragman, Nicholas, et al.
Published: (2022)
by: Bragman, Nicholas, et al.
Published: (2022)
Rankin--Selberg coefficients in arithmetic progressions modulo prime powers
by: Zhu, Tengyou
Published: (2026)
by: Zhu, Tengyou
Published: (2026)
On the size of $\{a: 1\leq a<n, n|a^2-1, a|n^2-1\}$ for number $n$
by: Cherukupally, Srikanth
Published: (2026)
by: Cherukupally, Srikanth
Published: (2026)
An infinite family of internal congruences modulo powers of 2 for partitions into odd parts with designated summands
by: Chern, Shane, et al.
Published: (2023)
by: Chern, Shane, et al.
Published: (2023)
On a property of the polynomials $x^n + (1-x)^n + a^n$
by: Karapetyan, Hayk
Published: (2025)
by: Karapetyan, Hayk
Published: (2025)
Proofs for Andrews' Conjectures 5 and 6 on $v_1(q)$
by: Bachraoui, Mohamed El
Published: (2026)
by: Bachraoui, Mohamed El
Published: (2026)
Eisenstein series modulo prime powers
by: Ahlgren, Scott, et al.
Published: (2025)
by: Ahlgren, Scott, et al.
Published: (2025)
Algebraic representatives of the ratios $ζ(2n+1)/π^{2n}$ and $β(2n)/π^{2n-1}$
by: Waffo, Luc Ramsès Talla
Published: (2026)
by: Waffo, Luc Ramsès Talla
Published: (2026)
Proof of a conjecture of Keith on congruences of the reciprocal of a false theta function
by: Jin, Jing, et al.
Published: (2025)
by: Jin, Jing, et al.
Published: (2025)
Parity results for the reciprocals of false theta functions
by: Jin, Jing, et al.
Published: (2025)
by: Jin, Jing, et al.
Published: (2025)
On Positive Integers $n$ with $ϕ(n)=\frac{2}{3} \cdot (n+1)$
by: Hercher, Christian
Published: (2025)
by: Hercher, Christian
Published: (2025)
Similar Items
-
Congruences modulo powers of $7$ for $k$-elongated plane partitions
by: Chen, Dandan, et al.
Published: (2025) -
Congruences modulo powers of 2 and 3 for overpartition $k$-tuples
by: Keerthana, G. Kavya, et al.
Published: (2025) -
Congruences modulo powers of $3$ for $6$-colored generalized Frobenius partitions
by: Chen, Dandan, et al.
Published: (2025) -
Congruences modulo powers of $3$ for generalized Frobenius partitions $CΨ_{6,0}$
by: Chen, Dandan, et al.
Published: (2025) -
Congruences modulo powers of $2$ for three restricted partition functions of Pushpa and Vasuki
by: Guadalupe, Russelle
Published: (2026)