Cyclotomic Integrality of Second-Order Mock Theta Functions

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Joesph Daniel Burke III
DOI: 10.5281/zenodo.20454139
Cited by: 3

Abstract

We prove finite truncation of the second-order mock theta B(q) at even roots of unity, and conjecture exact cyclotomic integrality for B(q) , 2B(q) , and 4A(q) across all residue classes, verified to k=100 .

Fields of Study & Subjects

Advanced Mathematical Identities Advanced Combinatorial Mathematics Advanced Algebra and Geometry

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
30 May 2026
Document type
Preprint