Congruences involving generalized Frobenius partitions.
Cranks and t-cores.
Distribution of the partition function modulo .
Elementary Proofs in the Theory of Partitions.
Enumeration of the partitions of an integer into parts of a specified number of different sizes and especially two sizes.
Even partition functions.
Exceptional congruences for powers of the partition function
Exotic Bailey-Slater spt-functions III: Bailey pairs from groups B, F, G, and J
We continue to investigate spt-type functions that arise from Bailey pairs. In this third paper on the subject, we proceed to introduce additional spt-type functions. We prove simple Ramanujan type congruences for these functions which can be explained by an spt-crank-type function. The spt-crank-type functions are actually defined first, with the spt-type functions coming from setting z = 1 in this definition. We find some of the spt-crank-type functions to have interesting representations as single...
Generalization of Ramanujan's Congruences p(5m+4) ...O (mod 5) and p(7m+5) ...0 (mod 7).
Generalizations and refinements of a partition theorem of Göllnitz.
Generalizations of Dyson's rank and non-Rogers-Ramanujan partitions.
Infinite families of divisibility properties modulo 4 for non-squashing partitions into distinct parts.
Lucas partitions.
MacMahon's partition analysis XI: Broken diamonds and modular forms
New infinite families of Ramanujan-type congruences modulo 9 for overpartition pairs
Let denote the number of overpartition pairs of n. Bringmann and Lovejoy (2008) proved that for n ≥ 0, . They also proved that there are infinitely many Ramanujan-type congruences modulo every power of odd primes for . Recently, Chen and Lin (2012) established some Ramanujan-type identities and explicit congruences for . Furthermore, they also constructed infinite families of congruences for modulo 3 and 5, and two congruence relations modulo 9. In this paper, we prove several new infinite...
New properties for the Ramanujan-Göllnitz-Gordon continued fraction
Observations on the parity of the total number of parts in odd--part partitions.
On a conjecture of Andrews.
On a partition theorem of Göllnitz.
On a restricted -non-squashing partition function.