M_2-rank differences for partitions without repeated odd parts

Abstract

We prove formulas for the generating functions for M_2-rank differences for partitions without repeated odd parts. These formulas are in terms of modular forms and generalized Lambert series.

18 pages

References in corpus (2)

• Rank differences for overpartitions
• Overpartitions, lattice paths and Rogers-Ramanujan identities

Cited by in corpus (7)

• Rank differences for overpartitions
• Dyson's Ranks and Appell-Lerch Sums
• Variations of Andrews-Beck type congruences
• M_2-rank differences for overpartitions
• Automorphic properties of generating functions for generalized rank moments and Durfee symbols
• On recursions for coefficients of mock theta functions
• Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts