Some explicit values of a q-multiple zeta function at roots of unity

Key Points

• Explicit formulas for certain q-multiple zeta functions are demonstrated using advanced combinatorial tools.
• The research uncovers values at roots of unity, emphasizing their relation to Stirling numbers and combinatorial structures.
• Bell polynomials and determinants are utilized to provide clear and insightful representations of these values.
• The findings indicate unique properties of multiple zeta functions, highlighting their complexity and significance in mathematical research.