{"paper":{"title":"H-Harmonic Maass-Jacobi Forms of Degree 1: The Analytic Theory of Some Indefinite Theta Series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Martin Westerholt-Raum","submitted_at":"2012-07-24T07:17:57Z","abstract_excerpt":"It was shown in previous work that the one-variable $\\widehat\\mu$-function defined by Zwegers (and Zagier) and his indefinite theta series attached to lattices of signature $(r\\!+\\!1,1)$ are both Heisenberg harmonic Maa\\ss-Jacobi forms. We extend the concept of Heisenberg harmonicity to Maa\\ss-Jacobi forms of arbitrary many elliptic variables, and produce indefinite theta series of \"product type\" for non-degenerate lattices of signature $(r\\!+\\!s,s)$. We thus obtain a clean generalization of $\\widehat\\mu$ to these negative definite lattices. From restrictions to torsion points of Heisenberg ha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5603","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}