Multiple zeta values ending with a fixed string

Key Points

• To derive a generating series expression for multiple zeta values with fixed weight, depth, and ending string.
• Derived the expression building on the Ohno-Zagier Theorem.
• Identified bounded depth for sums of multiple zeta values.
• Explored applications to double zeta values and interpolated evaluations.
• Summed multiple zeta values of fixed parameters with depth bound ≤ total of fixed string values.
• Provided new insights into evaluation methods for interpolated multiple zeta values.