A bicomplex Riemann zeta function (Q1768107)
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scientific article; zbMATH DE number 2145296
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A bicomplex Riemann zeta function |
scientific article; zbMATH DE number 2145296 |
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A bicomplex Riemann zeta function (English)
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14 March 2005
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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.
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bicomplex numbers
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bicomplex Euler product
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Cauchy-Riemann equations
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hyperbolic Riemann zeta function
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Riemann's hypothesis
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