Add to ORKGRecently, Andrews and Merca have given a new combinatorial interpretation of the total number of even parts in all partitions of n into distinct parts. We generalise this result and consider many more variations of their work. We also highlight some connections with the work of Fu and Tang
AbstractLetQ(N) denote the number of partitions ofNinto distinct parts. Ifω(k):=(3k2+k)/2, then it i...
2000 Mathematics Subject Classification: 05A16, 05A17.Let Xm,n denote the number of parts of multipl...
AbstractIn this paper the following theorem is proved and generalized. The partitions of any positiv...
Partitions wherein the even parts appear in two different colours are known as cubic partitions. Rec...
AbstractRecently Andrews proposed a problem of finding a combinatorial proof of an identity on the q...
AbstractIn 1974, Andrews discovered the generating function for the partitions of n considered in a ...
The well-known Rogers-Ramanujan identities have been a rich source of mathematical study over the la...
We find several interesting congruences modulo $3$ for $5$-core partitions and two color partitions
We obtain a three-parameter q-series identity that generalizes two results of Chan and Mao. By speci...
Let b3,5(n) denote the number of partitions of n into parts that are not multiples of 3 or 5. We est...
AbstractUsing elementary methods, we establish several new Ramanujan type identities and congruences...
In this paper, parity and recurrence formulas for some partition functions are given. In particular,...
AbstractIn this paper we revisit a 1987 question of Rabbi Ehrenpreis. Among many things, we provide ...
AbstractWe provide a bijective map from the partitions enumerated by the series side of the Rogers–S...
AbstractWe provide some further theorems on the partitions generated by the rank parity function. Ne...
AbstractLetQ(N) denote the number of partitions ofNinto distinct parts. Ifω(k):=(3k2+k)/2, then it i...
2000 Mathematics Subject Classification: 05A16, 05A17.Let Xm,n denote the number of parts of multipl...
AbstractIn this paper the following theorem is proved and generalized. The partitions of any positiv...
Partitions wherein the even parts appear in two different colours are known as cubic partitions. Rec...
AbstractRecently Andrews proposed a problem of finding a combinatorial proof of an identity on the q...
AbstractIn 1974, Andrews discovered the generating function for the partitions of n considered in a ...
The well-known Rogers-Ramanujan identities have been a rich source of mathematical study over the la...
We find several interesting congruences modulo $3$ for $5$-core partitions and two color partitions
We obtain a three-parameter q-series identity that generalizes two results of Chan and Mao. By speci...
Let b3,5(n) denote the number of partitions of n into parts that are not multiples of 3 or 5. We est...
AbstractUsing elementary methods, we establish several new Ramanujan type identities and congruences...
In this paper, parity and recurrence formulas for some partition functions are given. In particular,...
AbstractIn this paper we revisit a 1987 question of Rabbi Ehrenpreis. Among many things, we provide ...
AbstractWe provide a bijective map from the partitions enumerated by the series side of the Rogers–S...
AbstractWe provide some further theorems on the partitions generated by the rank parity function. Ne...
AbstractLetQ(N) denote the number of partitions ofNinto distinct parts. Ifω(k):=(3k2+k)/2, then it i...
2000 Mathematics Subject Classification: 05A16, 05A17.Let Xm,n denote the number of parts of multipl...
AbstractIn this paper the following theorem is proved and generalized. The partitions of any positiv...