We present a very natural generalization of the Arakawa-Kaneko zeta func-tion introduced ten years ago by T. Arakawa and M. Kaneko. We give in particular a new expression of the special values of this function at integral points in terms of modified Bell polynomial. By rewriting Ohno’s sum for-mula, we are in a position to deduce a new class of relations between Euler sums and the values of zeta
Let X?0 (k, n, s) denote the sum of all multiple zeta-star values of weight k, depth n and height s....
According to the author, ``the purpose of this article is neither to prove new results nor to give a...
We present a level two generalization of Arakawa-Kaneko zeta function introduced by T. Arakawa and M...
The Arakawa-Kaneko zeta function has been introduced ten years ago by T. Arakawa and M. Kaneko in [2...
AbstractIn this paper we present a relation among the multiple zeta values which generalizes simulta...
In this article, we present a variety of evaluations of series of polylogarithmic nature. More preci...
In [8] the current authors, along with the late and much-missed Richard Crandall (1947– 2012), consi...
In this note we present an elementary method of determining values of the zeta function ()zζ for 0, ...
International audienceWe give various contributions to the theory of Hurwitz zeta-function. An eleme...
For k∈ℤ, the generalized Arakawa–Kaneko zeta functions with a, b, c parameters are given by the Lapl...
Recently, the level two analogue of multiple polylogarithm function ${\rm A}(k_1,\ldots,k_r;z)$ and ...
AbstractThe paper introduces a general class of Tate-like zeta functions and proves an analytic cont...
International audienceIn this article, we study a class of conditionally convergent alternating seri...
We introduce the unified double zeta function of Mordell--Tornheim type and compute its values at no...
The Voronoĭ summation formula is known to be equivalent to the functional equation for the square of...
Let X?0 (k, n, s) denote the sum of all multiple zeta-star values of weight k, depth n and height s....
According to the author, ``the purpose of this article is neither to prove new results nor to give a...
We present a level two generalization of Arakawa-Kaneko zeta function introduced by T. Arakawa and M...
The Arakawa-Kaneko zeta function has been introduced ten years ago by T. Arakawa and M. Kaneko in [2...
AbstractIn this paper we present a relation among the multiple zeta values which generalizes simulta...
In this article, we present a variety of evaluations of series of polylogarithmic nature. More preci...
In [8] the current authors, along with the late and much-missed Richard Crandall (1947– 2012), consi...
In this note we present an elementary method of determining values of the zeta function ()zζ for 0, ...
International audienceWe give various contributions to the theory of Hurwitz zeta-function. An eleme...
For k∈ℤ, the generalized Arakawa–Kaneko zeta functions with a, b, c parameters are given by the Lapl...
Recently, the level two analogue of multiple polylogarithm function ${\rm A}(k_1,\ldots,k_r;z)$ and ...
AbstractThe paper introduces a general class of Tate-like zeta functions and proves an analytic cont...
International audienceIn this article, we study a class of conditionally convergent alternating seri...
We introduce the unified double zeta function of Mordell--Tornheim type and compute its values at no...
The Voronoĭ summation formula is known to be equivalent to the functional equation for the square of...
Let X?0 (k, n, s) denote the sum of all multiple zeta-star values of weight k, depth n and height s....
According to the author, ``the purpose of this article is neither to prove new results nor to give a...
We present a level two generalization of Arakawa-Kaneko zeta function introduced by T. Arakawa and M...