{"paper":{"title":"On $p$-adic multiple Barnes-Euler zeta functions and the corresponding log gamma functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Min-Soo Kim, Su Hu","submitted_at":"2017-03-16T00:19:48Z","abstract_excerpt":"Suppose that $\\omega_1,\\ldots,\\omega_N$ are positive real numbers and $x$ is a complex number with positive real part. The multiple Barnes-Euler zeta function $\\zeta_{E,N}(s,x;\\bar\\omega)$ with parameter vector $\\bar\\omega=(\\omega_1,\\ldots,\\omega_N)$ is defined as a deformation of the Barnes multiple zeta function as follows $$ \\zeta_{E,N}(s,x;\\bar\\omega)=\\sum_{t_1=0}^\\infty\\cdots\\sum_{t_N=0}^\\infty \\frac{(-1)^{t_1+\\cdots+t_N}}{(x+\\omega_1t_1+\\cdots+\\omega_Nt_N)^s}. $$\n  In this paper, based on the fermionic $p$-adic integral, we define the $p$-adic analogue of multiple Barnes-Euler zeta funct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05434","kind":"arxiv","version":4},"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"}