What question did this study set out to answer?

The aim is to establish a recurrence relation for the desingularized multiple zeta function and explore its implications.

February 22, 2026

A recurrence relation for desingularized multiple zeta functions and its applications

Key Points

The aim is to establish a recurrence relation for the desingularized multiple zeta function and explore its implications.
Derived the recurrence relation based on prior work by Akiyama.
Applied the relation to validate both known and previously unknown results.
Confirmed that the desingularized multiple zeta function satisfies a specific recurrence relation.
Demonstrated new insights into known results and identified some previously unknown outcomes.

Abstract

We show that the desingularized multiple zeta function Formula: see text of Furusho et al. (Amer. J. Math. 139 (2017), no. 1, 147-173) satisfies a recurrence relation analogues to Equation (4) of Akiyama et al. (Acta. Arith. 98 (2001), no. 2, 107-116). As an application of this recurrence relation, we prove some known and some unknown results.

KI fragen

Bookmark

Cite This Study

Sahoo et al. (Fri,) studied this question.

synapsesocial.com/papers/699a9d27482488d673cd2db3 https://doi.org/https://doi.org/10.1142/s1793042126500740

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

KI fragen

Bookmark