3 papers
math.NT2026
Trivial zeros of zeta functions of type
Simon Rutard, Takeshi Shinohara
In this paper, we investigate the values of zeta functions of root systems at non-positive integer points. In particular, we focus on the zeta functions of type . Sin…
math.NT2025
Values at non-positive integers of partially twisted multiple zeta-functions II
Driss Essouabri, Kohji Matsumoto, Simon Rutard
We study the values at non-positive integer points of multi-variable twisted multiple zeta-functions, whose each factor of the denominator is given by polynomials. The fully twiste…
math.NT2023
Values and derivative values at nonpositive integers of generalized multiple Hurwitz zeta functions
Simon Rutard
We establish the meromorphic continuation of certain multiple zeta functions of generalized Hurwitz type. From this meromorphic continuation, we obtain explicit formulas for their…