Add to ORKGABSTRACT. The primary goal of this note is to prove the congruence Ca (:3n + 2) 0 (mod 3), where a (n) denotes the number of F-partitions of n with at most:3 repetitions. Secondarily, we conjecture a new family of congruences involving c2 (n), the number of F-partitions of n with 2 colors
Let bℓ(n) denote the number of ℓ -regular cubic partition pairs of n. In this paper, we establi...
AbstractLet bm(n) denote the number of partitions of n into powers of m. Define σr=ε2m2+ε3m3+…+εrmr,...
We find several interesting congruences modulo $3$ for $5$-core partitions and two color partitions
In 1994, the following infinite family of congruences was conjectured for the partition function cφ2...
In 1994, the following infinite family of congruences was conjectured for the partition function cΦ2...
Let $b_{\ell;3}(n)$ denote the number of $\ell$-regular partitions of $n$ in 3 colours. In this pape...
ABSTRACT. The goal of this paper is to discuss congruences involving the function cφm(n), which deno...
AbstractIn his memoir in 1984, George E. Andrews introduces many general classes of Frobenius partit...
Let (Formula presented.) denote the number of partitions of (Formula presented.) into parts that are...
In Mestrige (Res Number Theory 6(1), Paper No. 5, 2020), we proved an infinite family of congruences...
AbstractIn a recent paper George E. Andrews introduced the idea of generalized Frobenius partitions....
[[abstract]]Let p_3(n) denote the number of overpartitions of n with 2-color in which one of the col...
In this paper, we define the partition function pedj;kðnÞ; the number of [j, k]-partitions of n into...
AbstractWe present some congruences involving the functions cϕ4(n) and cϕ¯4(n) which denote, respect...
Let $b_l (n)$ denote the number of $l$-regular partitions of $n$ and $B_l (n)$ denote the number of ...
Let bℓ(n) denote the number of ℓ -regular cubic partition pairs of n. In this paper, we establi...
AbstractLet bm(n) denote the number of partitions of n into powers of m. Define σr=ε2m2+ε3m3+…+εrmr,...
We find several interesting congruences modulo $3$ for $5$-core partitions and two color partitions
In 1994, the following infinite family of congruences was conjectured for the partition function cφ2...
In 1994, the following infinite family of congruences was conjectured for the partition function cΦ2...
Let $b_{\ell;3}(n)$ denote the number of $\ell$-regular partitions of $n$ in 3 colours. In this pape...
ABSTRACT. The goal of this paper is to discuss congruences involving the function cφm(n), which deno...
AbstractIn his memoir in 1984, George E. Andrews introduces many general classes of Frobenius partit...
Let (Formula presented.) denote the number of partitions of (Formula presented.) into parts that are...
In Mestrige (Res Number Theory 6(1), Paper No. 5, 2020), we proved an infinite family of congruences...
AbstractIn a recent paper George E. Andrews introduced the idea of generalized Frobenius partitions....
[[abstract]]Let p_3(n) denote the number of overpartitions of n with 2-color in which one of the col...
In this paper, we define the partition function pedj;kðnÞ; the number of [j, k]-partitions of n into...
AbstractWe present some congruences involving the functions cϕ4(n) and cϕ¯4(n) which denote, respect...
Let $b_l (n)$ denote the number of $l$-regular partitions of $n$ and $B_l (n)$ denote the number of ...
Let bℓ(n) denote the number of ℓ -regular cubic partition pairs of n. In this paper, we establi...
AbstractLet bm(n) denote the number of partitions of n into powers of m. Define σr=ε2m2+ε3m3+…+εrmr,...
We find several interesting congruences modulo $3$ for $5$-core partitions and two color partitions