t-adic symmetric multiple zeta values for indices with alternating 1 and 3, starting with 1 and ending with 3

Key Points

• This research validates previous conjectures about t-adic symmetric multiple zeta values for specific indices.
• The findings reveal that t-adic symmetric multiple zeta values can indeed be expressed as polynomials in Riemann zeta values.
• The study focuses on indices that start with 1 and end with 3, demonstrating a clear relationship with Riemann zeta values.
• This work builds on existing proof by Hirose, Murahara, and Saito, expanding the understanding of zeta value relationships.