AbstractWe provide some further theorems on the partitions generated by the rank parity function. New Bailey pairs are established, which are of independent interest
AbstractLet R(w;q) be Dysonʼs generating function for partition ranks. For roots of unity ζ≠1, it is...
In this paper, we provide proofs of two ${}_5\psi_5$ summation formulas of Bailey using a ${}_5\phi_...
AbstractLet {Bn(x)} be the Bernoulli polynomials. In the paper we establish some congruences for Bj(...
AbstractA new expansion is given for partial sums of Eulerʼs pentagonal number series. As a corollar...
In this paper, parity and recurrence formulas for some partition functions are given. In particular,...
Around 2004, J. Lovejoy proved three Hecke-type series identities using Bailey pairs. In this articl...
Dyson defined the rank of a partition (as the first part minus the number of parts) whilst investiga...
We present various results on the number of prime factors of the parts of a partition of an integer....
AbstractUsing elementary methods, we establish several new Ramanujan type identities and congruences...
AbstractIn a recent paper by the authors, a bounded version of Göllnitz's (big) partition theorem wa...
AbstractThe n-th product level of a skew–field D, psn(D), is a generalization of the n-th level of a...
AbstractIn this paper we revisit a 1987 question of Rabbi Ehrenpreis. Among many things, we provide ...
AbstractLetQ(N) denote the number of partitions ofNinto distinct parts. Ifω(k):=(3k2+k)/2, then it i...
AbstractIf A is a set of positive integers, we denote by p(A,n) the number of partitions of n with p...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractLet R(w;q) be Dysonʼs generating function for partition ranks. For roots of unity ζ≠1, it is...
In this paper, we provide proofs of two ${}_5\psi_5$ summation formulas of Bailey using a ${}_5\phi_...
AbstractLet {Bn(x)} be the Bernoulli polynomials. In the paper we establish some congruences for Bj(...
AbstractA new expansion is given for partial sums of Eulerʼs pentagonal number series. As a corollar...
In this paper, parity and recurrence formulas for some partition functions are given. In particular,...
Around 2004, J. Lovejoy proved three Hecke-type series identities using Bailey pairs. In this articl...
Dyson defined the rank of a partition (as the first part minus the number of parts) whilst investiga...
We present various results on the number of prime factors of the parts of a partition of an integer....
AbstractUsing elementary methods, we establish several new Ramanujan type identities and congruences...
AbstractIn a recent paper by the authors, a bounded version of Göllnitz's (big) partition theorem wa...
AbstractThe n-th product level of a skew–field D, psn(D), is a generalization of the n-th level of a...
AbstractIn this paper we revisit a 1987 question of Rabbi Ehrenpreis. Among many things, we provide ...
AbstractLetQ(N) denote the number of partitions ofNinto distinct parts. Ifω(k):=(3k2+k)/2, then it i...
AbstractIf A is a set of positive integers, we denote by p(A,n) the number of partitions of n with p...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractLet R(w;q) be Dysonʼs generating function for partition ranks. For roots of unity ζ≠1, it is...
In this paper, we provide proofs of two ${}_5\psi_5$ summation formulas of Bailey using a ${}_5\phi_...
AbstractLet {Bn(x)} be the Bernoulli polynomials. In the paper we establish some congruences for Bj(...
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