The number theory of a system of hyperbolic complex numbers.

[...] Although much has been written and a great deal of elegent theory developed for numbers of the form x + iy, where i2 = -1 and x and y are real numbers, viz, the ordinary complex numbers; very little has been said concerning an analogous system of numbers of the form x + jy where j2 = 1. This system we shall term the "Hyperbolic Complex Numbers", due to their connection with the hyperbola and the hyperbolic functions. The purpose of this paper will be to develop the number theory properties of this system. [...]

Williams, W. (Supervisor)

Country

Canada

Related Organizations

McGill University
Canada

Keywords

NUMBERS, THEORY OF., NUMBERS, THEORY OF, Mathematics., FOS: Mathematics, Mathematics

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