3 citations · 7 across the 9 of their papers we have counts for
10 papers
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…
Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function
D. Essouabri, C. Salinas Zavala, L. Tóth
We use multiple zeta functions to prove, under suitable assumptions, precise asymptotic formulas for the averages of multivariable multiplicative functions. As applications, we pro…
Values of multiple zeta-functions with polynomial denominators at non-positive integers
Driss Essouabri, Kohji Matsumoto
We study rather general multiple zeta-functions whose denominators are given by polynomials. The main aim is to prove explicit formulas for the values of those multiple zeta-functi…
Values at non-positive integers of partially twisted multiple zeta-functions I
Driss Essouabri, Kohji Matsumoto
We study the behavior of partially twisted multiple zeta-functions. We give new closed and explicit formulas for special values at non-positive integer points of such zeta-function…
Values at non-positive integers of generalized Euler-Zagier multiple zeta-functions
Driss Essouabri, Kohji Matsumoto
We give new closed and explicit formulas for "multiple zeta values" at non-positive integers of generalized Euler-Zagier multiple zeta-functions. We first prove these formulas for…
q-Ehrhart polynomials of Gorenstein polytopes, Bernoulli umbra and related Dirichlet series
Frédéric Chapoton, Driss Essouabri
This article considers some q-analogues of classical results concerning the Ehrhart polynomials of Gorenstein polytopes, namely properties of their q-Ehrhart polynomial with respec…