Ward, Morgan (1951) A Class of Soluble Diophantine Equations. Proceedings of the National Academy of Sciences of the United States of America, 37 (2). pp. 113114. ISSN 00278424. http://resolver.caltech.edu/CaltechAUTHORS:WARpnas51

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Abstract
Let R be a commutative ring with a unit element, F(x) a homogeneous polynomial of degree n in t indeterminates x1, x2, ..., xt with coefficients in R. Let I denote the subring of the coefficients of F(x) in R; that is, the smallest ring containing all of them. We consider the existence of solutions of the diophantine equation F(x) = z^M in R or in I. Here z is an indeterminate and m is a given positive integer.
Item Type:  Article 

Additional Information:  Copyright © 1951 by the National Academy of Sciences Communicated by E. T. Bell, November 21, 1950 
Record Number:  CaltechAUTHORS:WARpnas51 
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:WARpnas51 
Alternative URL:  http://www.pnas.org/content/vol37/issue2/ 
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ID Code:  6159 
Collection:  CaltechAUTHORS 
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Deposited On:  27 Nov 2006 
Last Modified:  14 Nov 2014 19:19 
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