This paper deals with the use of APL to solve matrix theory problems with elements that are members of an integral domain. Two types of integral domains are used to illustrate the methods developed in this paper, integers (Z) and polynomials with real ...
LetRbe a Hilbertian domain and letKbe its fraction field. Let (x1, ,xn,y) be a quantifier free arithmetical formula overR. We may also take (x1, ,xn,y) to be an arithmetical formula overKx1, ,xn] and write it as (y). In this paper we show that ifRhas ...
In an earlier paper [D. Richards, Q. Zheng, Determinant formulas for multidimensional hypergeometric period matrices, Adv. in Appl. Math. 29 (2002) 137-151] on the determinants of certain period matrices, we formulated a conjecture about the determinant ...
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