Abstract
In this work we use a commutative generalization of complex numbers, called bicomplex numbers, to introduce a holomorphic Riemann zeta function of two complex variables satisfying the complexified Cauchy-Riemann equations. Furthermore, we establish a bicomplex Riemann hypothesis equivalent to the complex Riemann hypothesis of one variable and we obtain a bicomplex Euler Product.
Citation
Dominic ROCHON. "A Bicomplex Riemann Zeta Function." Tokyo J. Math. 27 (2) 357 - 369, December 2004. https://doi.org/10.3836/tjm/1244208394
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