AbstractIn this brief note, we give a combinatorial proof of a variation of Gauss’s q-binomial theorem, and we determine arithmetic properties of the overpartition function modulo 8
Abstract. In 1968 and 1969, Andrews proved two partition theorems of the Rogers-Ramanujan type which...
It was recently shown that qω(q), where ω(q) is one of the third order mock theta functions, is the ...
Integer partitions play important roles in diverse areas of mathematics such as q-series, the theory...
AbstractIn this brief note, we give a combinatorial proof of a variation of Gauss’s q-binomial theor...
AbstractIn a recent paper, Fortin et al. (Jagged Partitions, arXivmath. CO/0310079, 2003) found cong...
In 2008, Lovejoy and Osburn defined the generating function for Pn .In 2009, Byungchan Kim defined t...
Recently Jeremy Lovejoy A Theorem on seven-colored overpartitions and its Applications has proved a ...
Abstract. We generalize and prove two conjectures of Corteel and Lovejoy related to overpartitions a...
In 2008, Lovejoy and Osburn defined the generating function for nP.In 2009, Byungchan Kim defined t...
Abstract. We study overpartitions where the difference between two successive parts may be odd only ...
AbstractWe study a class of well-poised basic hypergeometric series J˜k,i(a;x;q), interpreting these...
We study new classes of overpartitions of numbers based on the properties of non-overlined parts. Se...
AbstractWe show that the formalism of overpartitions gives a simple involution for the product defin...
AbstractWe study the combinatorics of two classes of basic hypergeometric series. We first show that...
AbstractIt is shown that counting certain differences of overpartition functions is equivalent to co...
Abstract. In 1968 and 1969, Andrews proved two partition theorems of the Rogers-Ramanujan type which...
It was recently shown that qω(q), where ω(q) is one of the third order mock theta functions, is the ...
Integer partitions play important roles in diverse areas of mathematics such as q-series, the theory...
AbstractIn this brief note, we give a combinatorial proof of a variation of Gauss’s q-binomial theor...
AbstractIn a recent paper, Fortin et al. (Jagged Partitions, arXivmath. CO/0310079, 2003) found cong...
In 2008, Lovejoy and Osburn defined the generating function for Pn .In 2009, Byungchan Kim defined t...
Recently Jeremy Lovejoy A Theorem on seven-colored overpartitions and its Applications has proved a ...
Abstract. We generalize and prove two conjectures of Corteel and Lovejoy related to overpartitions a...
In 2008, Lovejoy and Osburn defined the generating function for nP.In 2009, Byungchan Kim defined t...
Abstract. We study overpartitions where the difference between two successive parts may be odd only ...
AbstractWe study a class of well-poised basic hypergeometric series J˜k,i(a;x;q), interpreting these...
We study new classes of overpartitions of numbers based on the properties of non-overlined parts. Se...
AbstractWe show that the formalism of overpartitions gives a simple involution for the product defin...
AbstractWe study the combinatorics of two classes of basic hypergeometric series. We first show that...
AbstractIt is shown that counting certain differences of overpartition functions is equivalent to co...
Abstract. In 1968 and 1969, Andrews proved two partition theorems of the Rogers-Ramanujan type which...
It was recently shown that qω(q), where ω(q) is one of the third order mock theta functions, is the ...
Integer partitions play important roles in diverse areas of mathematics such as q-series, the theory...