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Document Type

Research

Abstract

If 4X = 4(xp - 1) / (x - 1) where p is an odd prime then 4X= Y2 - (- 1) p-1 / 2 pZ2, Y and Z being polynomials in x with integral coefficients. These decompositions for 100< p< 200 were given by the author in the Proceedings of the Iowa Academy of Science, 43: 255-262. This work has now been extended to values of p< 225. The decompositions are given herewith. For all decompositions Y is a polynomial of degree (p - 1) / 2 and Z a polynomial of degree (p- 3) / 2. The coefficients only are given in each case first for Y, then for Z.

Publication Date

1937

Journal Title

Proceedings of the Iowa Academy of Science

Volume

44

Issue

1

First Page

137

Last Page

138

Copyright

© Copyright 1937 by the Iowa Academy of Science, Inc.

Language

EN

File Format

application/pdf

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