Euler-like recurrences for smallest parts functions

DOI10.1007/s11139-014-9580-9zbMath1380.11042arXiv1402.5366OpenAlexW2053677689MaRDI QIDQ2254871

Nickolas Andersen, Scott Ahlgren

Publication date: 6 February 2015

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5366

zbMATH Keywords

holomorphic projectionsmallest parts functions

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (6)

Eichler-Selberg type identities for mixed mock modular forms ⋮ Effective estimates for the smallest parts function ⋮ Theta lifts for Lorentzian lattices and coefficients of mock theta functions ⋮ Congruences for a mock modular form on \(\mathrm{SL}_2(\mathbb{Z})\) and the smallest parts function ⋮ Universal mock theta functions and two-variable Hecke-Rogers identities ⋮ Mock modular Eisenstein series with Nebentypus

Cites Work

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• Holomorphic projections and Ramanujan’s mock theta functions
• Mock modular grids and Hecke relations for mock modular forms
• Automorphic Properties of Generating Functions for Generalized Rank Moments and Durfee Symbols
• The number of smallest parts in the partitions of n
• Projections of 𝐶^{∞} automorphic forms

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