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.