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Interpolant of truncated multiple zeta functions
- Publication Year :
- 2024
-
Abstract
- We introduce an analytic function $\Psi(s_1,\ldots,s_r;w)$ that interpolates truncated multiple zeta functions $\zeta_N(s_1,\ldots,s_r)$. We represent this interpolant as a Mellin transform of a function $G(q_1,\ldots,q_r;w)$ and, using this expression, give the analytic continuation. Further, the harmonic product relations for $\Psi$ and $G$ are established via relevant Hopf algebra structures, and some properties of the function $G$ are provided.
- Subjects :
- Mathematics - Number Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2407.20509
- Document Type :
- Working Paper