... we use the following notations. ByZpwe denote the ring of p-adicrational integers,Q denotes the field of rational numbers, Qpdenotes the field of p-adicrational numbers,C denotes the complex ... 1.50045iemploying numerical method in the field of research of the En,q,w(x)toappearinmathe-matics and physics. The reader may refer to [11, 14–16] for the details. We calculated anapproximate ... (2.3)Therefore, we obtain the following theorem.Theorem 2.1. For k∈ N, one hasEk,χ,w= 2∞m=1χ(m)wm(−1)mmk(k ∈ N). (2.4)Thus we define the twisted Dirichlet-type l-series as follows.Definit...