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math.NT2023
On generalization of duality formulas for the Arakawa-Kaneko type zeta functions
Kyosuke Nishibiro
Kaneko and Tsumura introduced the Arakawa-Kaneko type zeta function for non-negative integers and complex variables $s_1,\ldot…
math.NT2023
On explicit relations for values of Kaneko-Tsumura's function
Kyosuke Nishibiro
Recently, Kaneko and Tsumura introduced multiple -values, another kind of poly-Euler numbers and the related Arakawa-Kaneko type zeta function. It is shown that each…
math.NT2022
On some properties of polycosecant numbers and polycotangent numbers
Kyosuke Nishibiro
Polycosecant numbers and polycotangent numbers are introduced as level two analogues of poly-Bernoulli numbers. It is shown that polycosecant numbers and polycotangent numbers sati…