The reciprocals of the Rogers-Ramanujan identities are considered, and it it shown that the results yield identities for restricted compositions. The same technique is applied to obtain a generating function for partitions previously treated by H. Mine. 1 * Introduction * The celebrated Rogers-Ramanujan identities were first presented in their analytic form as follows
94 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In a manuscript of Ramanujan, ...
Abstract. We nd involutions for three Rogers-Ramanujan-Gordon type identities obtained by Andrews on...
In his notebooks, Ramanujan recorded 40 beautiful modular relations for the Rogers-Ramanujan functio...
AbstractIn this paper a partition theorem is proved which contains the Rogers-Ramanujan identities a...
The partition theoretic Rogers–Ramanujan identities assert that for a = 0, 1 and any n, the number o...
Abstract. In this paper, we consider the Rogers-Ramanujan type functions J(q) and K(q) of order ten ...
AbstractWe study the numerator and denominator of a continued fraction R(a, b) of Ramanujan and esta...
AbstractThe order of a partition π (relative to N) is defined as the largest i for which the number ...
In a manuscript of Ramanujan, published with his Lost Notebook [20] there are forty identities invo...
Recently, the authors have established a large class of modular relations involving the Rogers-Raman...
In this paper, we consider the Rogers-Ramanujan type functions J(q) and K(q) of order ten and establ...
Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as...
AbstractWe define the nonic Rogers–Ramanujan-type functions D(q), E(q) and F(q) and establish severa...
Abstract In 1894, Rogers found the two identities for the first time. In 1913, Ramanujan found the t...
AbstractA famous identity of Ramanujan connected with partitions modulo 5 is shown to be equivalent ...
94 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In a manuscript of Ramanujan, ...
Abstract. We nd involutions for three Rogers-Ramanujan-Gordon type identities obtained by Andrews on...
In his notebooks, Ramanujan recorded 40 beautiful modular relations for the Rogers-Ramanujan functio...
AbstractIn this paper a partition theorem is proved which contains the Rogers-Ramanujan identities a...
The partition theoretic Rogers–Ramanujan identities assert that for a = 0, 1 and any n, the number o...
Abstract. In this paper, we consider the Rogers-Ramanujan type functions J(q) and K(q) of order ten ...
AbstractWe study the numerator and denominator of a continued fraction R(a, b) of Ramanujan and esta...
AbstractThe order of a partition π (relative to N) is defined as the largest i for which the number ...
In a manuscript of Ramanujan, published with his Lost Notebook [20] there are forty identities invo...
Recently, the authors have established a large class of modular relations involving the Rogers-Raman...
In this paper, we consider the Rogers-Ramanujan type functions J(q) and K(q) of order ten and establ...
Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as...
AbstractWe define the nonic Rogers–Ramanujan-type functions D(q), E(q) and F(q) and establish severa...
Abstract In 1894, Rogers found the two identities for the first time. In 1913, Ramanujan found the t...
AbstractA famous identity of Ramanujan connected with partitions modulo 5 is shown to be equivalent ...
94 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In a manuscript of Ramanujan, ...
Abstract. We nd involutions for three Rogers-Ramanujan-Gordon type identities obtained by Andrews on...
In his notebooks, Ramanujan recorded 40 beautiful modular relations for the Rogers-Ramanujan functio...