A Multicomplex Riemann Zeta Function

    Authors

    F. L. Reid;R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    Adv. Appl. Clifford Algebr.

    Keywords

    Multicomplex number system; Multicomplex analysis; Riemann zeta function; BICOMPLEX; SPACES; Mathematics, Applied; Physics, Mathematical

    Abstract

    After reviewing properties of analytic functions on the multicomplex number space (a commutative generalization of the bicomplex numbers ), a multicomplex Riemann zeta function is defined through analytic continuation. Properties of this function are explored, and we are able to state a multicomplex equivalence to the Riemann hypothesis.

    Journal Title

    Advances in Applied Clifford Algebras

    Volume

    23

    Issue/Number

    1

    Publication Date

    1-1-2013

    Document Type

    Article

    Language

    English

    First Page

    237

    Last Page

    251

    WOS Identifier

    WOS:000315160000014

    ISSN

    0188-7009

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