{"paper":{"title":"Joint universality for Lerch zeta-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"{\\L}ukasz Pa\\'nkowski, Takashi Nakamura, Yoonbok Lee","submitted_at":"2015-03-20T06:13:47Z","abstract_excerpt":"For $0<\\alpha, \\lambda \\leq 1$, the Lerch zeta-function is defined by $L(s;\\alpha, \\lambda)$$:= \\sum_{n=0}^\\infty e^{2\\pi i\\lambda n} (n+\\alpha)^{-s}$, where $\\sigma>1$. In this paper, we prove joint universality for Lerch zeta-functions with distinct $\\lambda_1,\\ldots,\\lambda_m$ and transcendental $\\alpha$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06001","kind":"arxiv","version":2},"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"}