A bicomplex Riemann zeta function
The author uses a commutative generalization of complex numbers, called bicomplex numbers, to introduce a holomorphic Riemann zeta function of two complex variables, which satisfies the complexified Cauchy-Riemann equations. Moreover, the author establishes a bicomplex Riemann hypothesis which is equivalent to the complex Riemann hypothesis of one variable. In addition, in the paper it is obtained a bicomplex Euler product.
scientific article; zbMATH DE number 2145296
scientific article