A Multicomplex Riemann Zeta Function

作者：Reid Frederick Lyall; Van Gorder Robert A^*

来源：Advances in Applied Clifford Algebras, 2013, 23(1): 237-251.

DOI：10.1007/s00006-012-0369-x

• Multicomplex number system
• Multicomplex analysis
• Riemann zeta function

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.

• 出版日期2013-3