Publication date
March 2012
DOI Publisher
Elsevier B.V. ISSN
0012-365X Citation count (estimate)
17Abstract
AbstractUsing elementary methods, we establish several new Ramanujan type identities and congruences for certain pairs of partition functions
AbstractUsing elementary methods, we establish several new Ramanujan type identities and congruences for certain pairs of partition functions
AbstractRamanujanʼs famous partition congruences modulo powers of 5, 7, and 11 imply that certain se...
We present various results on the number of prime factors of the parts of a partition of an integer....
The starting point for this work is the family of functions $\overline{p}_{-t}(n)$ which counts the ...
AbstractWe prove two identities related to overpartition pairs. One of them gives a generalization o...
Let b3,5(n) denote the number of partitions of n into parts that are not multiples of 3 or 5. We est...
We find several interesting congruences modulo $3$ for $5$-core partitions and two color partitions
AbstractWe provide some further theorems on the partitions generated by the rank parity function. Ne...
In recent work, Bringmann et al. used q-difference equations to compute a two-variable q-hypergeomet...
Partitions wherein the even parts appear in two different colours are known as cubic partitions. Rec...
AbstractWe consider the new problem of determining the number of partitions of a number into a fixed...
In this paper, we investigate the arithmetic properties of â�� -regular overpartition pairs. Let Bâ�...
Many authors have found congruences and infinite families of congruences modulo 2, 3, 4, 18, and 36 ...
AbstractLetQ(N) denote the number of partitions ofNinto distinct parts. Ifω(k):=(3k2+k)/2, then it i...
AbstractOn page 189 in his lost notebook, Ramanujan recorded five assertions about partitions. Two a...
Recently, Andrews and Merca have given a new combinatorial interpretation of the total number of eve...
AbstractRamanujanʼs famous partition congruences modulo powers of 5, 7, and 11 imply that certain se...
We present various results on the number of prime factors of the parts of a partition of an integer....
The starting point for this work is the family of functions $\overline{p}_{-t}(n)$ which counts the ...
AbstractWe prove two identities related to overpartition pairs. One of them gives a generalization o...
Let b3,5(n) denote the number of partitions of n into parts that are not multiples of 3 or 5. We est...
We find several interesting congruences modulo $3$ for $5$-core partitions and two color partitions
AbstractWe provide some further theorems on the partitions generated by the rank parity function. Ne...
In recent work, Bringmann et al. used q-difference equations to compute a two-variable q-hypergeomet...
Partitions wherein the even parts appear in two different colours are known as cubic partitions. Rec...
AbstractWe consider the new problem of determining the number of partitions of a number into a fixed...
In this paper, we investigate the arithmetic properties of â�� -regular overpartition pairs. Let Bâ�...
Many authors have found congruences and infinite families of congruences modulo 2, 3, 4, 18, and 36 ...
AbstractLetQ(N) denote the number of partitions ofNinto distinct parts. Ifω(k):=(3k2+k)/2, then it i...
AbstractOn page 189 in his lost notebook, Ramanujan recorded five assertions about partitions. Two a...
Recently, Andrews and Merca have given a new combinatorial interpretation of the total number of eve...
AbstractRamanujanʼs famous partition congruences modulo powers of 5, 7, and 11 imply that certain se...
We present various results on the number of prime factors of the parts of a partition of an integer....
The starting point for this work is the family of functions $\overline{p}_{-t}(n)$ which counts the ...
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