Shintani Zeta Function
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High Quality Content by WIKIPEDIA articles! In mathematics, a Shintani zeta function or Shintani L-function is a generalization of the Riemann zeta function. They were studied studied by Takuro Shintani (1976). They include Hurwitz zeta functions, Barnes zeta functions, and Witten zeta functions as special cases. The Shintani zeta function of (s1, ..., sk) is given by sum_{n_1,dots,n_mge 0}frac{1}{L_1^{s_1} cdots L_k^{s_k}} where each Lj is an inhomogeneous linear function of (n1, ... ,nm). The special case when k = 1 is the Barnes zeta function.

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High Quality Content by WIKIPEDIA articles! In mathematics, a Shintani zeta function or Shintani L-function is a generalization of the Riemann zeta function. They were studied studied by Takuro Shintani (1976). They include Hurwitz zeta functions, Barnes zeta functions, and Witten zeta functions as special cases. The Shintani zeta function of (s1, ..., sk) is given by sum_{n_1,dots,n_mge 0}frac{1}{L_1^{s_1} cdots L_k^{s_k}} where each Lj is an inhomogeneous linear function of (n1, ... ,nm). The special case when k = 1 is the Barnes zeta function.