A Multicomplex Riemann Zeta Function

被引：3

作者：

Reid, Frederick Lyall ^{[1
]}

Van Gorder, Robert A. ^{[1
]}

机构：

[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2013年 / 23卷 / 01期

关键词：

Multicomplex number system; Multicomplex analysis; Riemann zeta function; BICOMPLEX; SPACES;

D O I：

10.1007/s00006-012-0369-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：237 / 251

页数：15

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