On certain explicit congruences for mock theta functions

2010/03/23 by Matthias Waldherr, Waldherr, Matthias
Mathematics · #11F37 (Primary) 11F33 (Secondary) #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F33 #msc:11F37

paper · pdf · doi:10.48550/arxiv.1003.4433

arxiv created 2010/03/23 · openalex publication_date 2010/03/23 · arxiv updated 2010/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, Garthwaite-Penniston have shown that the coefficients of Ramanujan's mock theta function ω satisfy infinitely many congruences of Ramanujan-type. In this work we give the first explicit examples of congruences for Ramanujan's mock theta function ω and another mock theta function C.

Citations

• Mock Theta Functions
• The f(q) mock theta function conjecture and partition ranks
• The Final Problem : An Account of the Mock Theta Functions
• On two geometric theta lifts

Related

• Congruences for partition functions related to mock theta functions
• Congruence properties of coefficients of the eighth order mock theta function V₀(q)
• Partition Identities for Ramanujan's Third Order Mock Theta Functions
• Second Order Mock Theta Functions
• Some Identities associated with mock theta functions ω(q) and ν(q)