Multiple zeta values with varying constant fields
Abstract
Thakur introduced multiple zeta values in the arithmetic of positive characteristic function fields, and the definition depends on the field of constants of the chosen function field. In this paper, multiple zeta values associated with function fields with varying constant fields are treated simultaneously. Using Papanikolas' theory on the relationship between the $t$-motivic Galois group and the periods of a pre-$t$-motive, we show that there do not exist non-trivial algebraic relations relating multiple zeta values with different constant fields.
Fields of Study & Subjects
Advanced Mathematical Identities
Analytic Number Theory Research
Crystallization and Solubility Studies
Publication details
- Journal / source
- Mathematical Research Letters
- Publisher
- International Press of Boston
- Volume
- 33
- Issue
- 2
- Pages
- 397–450
- Publication date
- 1 January 2026
- Language
- EN