Abstract
Abstract From a complex perspective, Birch and Bombieri (1985) proposed the study of an important class of n-dimensional exponential sums for n = 4 {n=4} , which was then generalized by Katz (1987) to general positive integer n. Our previous paper (2022) enhanced the preceding work from a complex point of view and expanded the subject to a p-adic point of view for any positive integer n. In this paper, we investigate the algebraic degree of the above exponential sum as an algebraic integer.
Published Version
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