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
Copyright © 2013 Ruting Guo. This is an open access article distributed under the Creative Commons A...
Let n be a positive integer. A partition of n is a sequence of non-increasing positive integ...
In recent work, Bringmann et al. used q-difference equations to compute a two-variable q-hypergeomet...
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 this article, we consider various arithmetic properties of the function po(n) which denotes the n...
In 2008, Lovejoy and Osburn defined the generating function for Pn .In 2009, Byungchan Kim defined t...
A number of arithmetic properties of overpartitions have been proven recently. However, all such res...
In 2008, Lovejoy and Osburn defined the generating function for nP.In 2009, Byungchan Kim defined t...
© 2017 World Scientific Publishing Company. We study νk(n), the number of partitions of n into k par...
Let $ \overline{PT}_o(n)$ denote the number of overpartition triples of a positive integer $n$ into ...
AbstractIn this brief note, we give a combinatorial proof of a variation of Gauss’s q-binomial theor...
Abstract In this paper, we study various arithmetic properties of the function $$\overline{p}_{2,\,\...
We study new classes of overpartitions of numbers based on the properties of non-overlined parts. Se...
Recently, Lovejoy introduced the construct of overpartition pairs which are a natural generalization...
Copyright © 2013 Ruting Guo. This is an open access article distributed under the Creative Commons A...
Let n be a positive integer. A partition of n is a sequence of non-increasing positive integ...
In recent work, Bringmann et al. used q-difference equations to compute a two-variable q-hypergeomet...
AbstractIn a recent paper, Fortin et al. (Jagged Partitions, arXivmath. CO/0310079, 2003) found cong...
AbstractAn overpartition of n is a non-increasing sequence of positive integers whose sum is n in wh...
In this article, we consider various arithmetic properties of the function po(n) which denotes the n...
In 2008, Lovejoy and Osburn defined the generating function for Pn .In 2009, Byungchan Kim defined t...
A number of arithmetic properties of overpartitions have been proven recently. However, all such res...
In 2008, Lovejoy and Osburn defined the generating function for nP.In 2009, Byungchan Kim defined t...
© 2017 World Scientific Publishing Company. We study νk(n), the number of partitions of n into k par...
Let $ \overline{PT}_o(n)$ denote the number of overpartition triples of a positive integer $n$ into ...
AbstractIn this brief note, we give a combinatorial proof of a variation of Gauss’s q-binomial theor...
Abstract In this paper, we study various arithmetic properties of the function $$\overline{p}_{2,\,\...
We study new classes of overpartitions of numbers based on the properties of non-overlined parts. Se...
Recently, Lovejoy introduced the construct of overpartition pairs which are a natural generalization...
Copyright © 2013 Ruting Guo. This is an open access article distributed under the Creative Commons A...
Let n be a positive integer. A partition of n is a sequence of non-increasing positive integ...
In recent work, Bringmann et al. used q-difference equations to compute a two-variable q-hypergeomet...
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