Some evaluations of interpolated multiple zeta values and interpolated multiple t -values

Key Points

• The aim is to evaluate interpolated multiple zeta values and t-values with specific indices derived from sequences of 2's.
• Derived evaluation formulas by investigating algebraic relations in harmonic algebra.
• Focused on sequences formed by inserting 1 or 3 into sequences of 2's.
• Identified new evaluation formulas for interpolated multiple zeta values.
• Proposed algebraic relations that enhance the understanding of harmonic algebra.