Multiple zeta values over global function fields

2005/12/01 by Masri, Riad
#11M41 #14H05 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.math/0512027

Abstract

In this paper we develop the analytic theory of a multiple zeta function in d independent complex variables defined over a global function field. This is the function field analog of the Euler-Zagier multiple zeta function of depth d.

Related

• Multiple zeta values with varying constant fields
• Multiple zeta functions at regular integer points
• Generalized multiple zeta values over number fields I
• The functional equation of the zeta function of a global field
• Sum formula for multiple zeta function