AbstractIn a recent paper, Fortin et al. (Jagged Partitions, arXivmath. CO/0310079, 2003) found congruences modulo powers of 2 for the values of the overpartition function p¯(n) in arithmetic progressions. The moduli for these congruences ranged as high as 64. This note shows that p¯(n)≡0(mod64) for a set of integers of arithmetic density 1
In 2008, Lovejoy and Osburn defined the generating function for Pn .In 2009, Byungchan Kim defined t...
AbstractLet bℓ(n) denote the number of ℓ-regular partitions of n, where ℓ is a positive power of a p...
In 2008, Lovejoy and Osburn defined the generating function for nP.In 2009, Byungchan Kim defined t...
AbstractIn a recent paper, Fortin et al. (Jagged Partitions, arXivmath. CO/0310079, 2003) found cong...
AbstractAn overpartition of n is a non-increasing sequence of positive integers whose sum is n in wh...
In recent work, Bringmann et al. used q-difference equations to compute a two-variable q-hypergeomet...
AbstractIn this brief note, we give a combinatorial proof of a variation of Gauss’s q-binomial theor...
The primary focus of this paper is overpartitions, a type of partition that plays a significant role...
We study new classes of overpartitions of numbers based on the properties of non-overlined parts. Se...
In this paper, we study various arithmetic properties of the function p¯¯¯2,k(n), which denotes the ...
In this article, we consider various arithmetic properties of the function po(n) which denotes the n...
The study of Ramanujan-type congruences for functions specific to additive number theory has a long ...
In this article we exhibit new explicit families of congruences for the overpartition function, maki...
In this paper, we investigate the arithmetic properties of â�� -regular overpartition pairs. Let Bâ�...
The starting point for this work is the family of functions $\overline{p}_{-t}(n)$ which counts the ...
In 2008, Lovejoy and Osburn defined the generating function for Pn .In 2009, Byungchan Kim defined t...
AbstractLet bℓ(n) denote the number of ℓ-regular partitions of n, where ℓ is a positive power of a p...
In 2008, Lovejoy and Osburn defined the generating function for nP.In 2009, Byungchan Kim defined t...
AbstractIn a recent paper, Fortin et al. (Jagged Partitions, arXivmath. CO/0310079, 2003) found cong...
AbstractAn overpartition of n is a non-increasing sequence of positive integers whose sum is n in wh...
In recent work, Bringmann et al. used q-difference equations to compute a two-variable q-hypergeomet...
AbstractIn this brief note, we give a combinatorial proof of a variation of Gauss’s q-binomial theor...
The primary focus of this paper is overpartitions, a type of partition that plays a significant role...
We study new classes of overpartitions of numbers based on the properties of non-overlined parts. Se...
In this paper, we study various arithmetic properties of the function p¯¯¯2,k(n), which denotes the ...
In this article, we consider various arithmetic properties of the function po(n) which denotes the n...
The study of Ramanujan-type congruences for functions specific to additive number theory has a long ...
In this article we exhibit new explicit families of congruences for the overpartition function, maki...
In this paper, we investigate the arithmetic properties of â�� -regular overpartition pairs. Let Bâ�...
The starting point for this work is the family of functions $\overline{p}_{-t}(n)$ which counts the ...
In 2008, Lovejoy and Osburn defined the generating function for Pn .In 2009, Byungchan Kim defined t...
AbstractLet bℓ(n) denote the number of ℓ-regular partitions of n, where ℓ is a positive power of a p...
In 2008, Lovejoy and Osburn defined the generating function for nP.In 2009, Byungchan Kim defined t...