p-Fractals and power series—II.
نویسندگان
چکیده
منابع مشابه
p-Fractals and Power Series - I Some 2 Variable Results
u1, . . . , ur are in kJx1, . . . , xsK with k and deg(u1, . . . , ur) finite. Intending applications to Hilbert-Kunz theory, we code the numbers deg(u1 1 , . . . , u ar r ) into a function φu, which empirically satisfies many functional equations related to “magnification by p”, where p = chark. p-fractals, introduced here, formalize these ideas. In the first interesting case (r = 3, s = 2), t...
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متن کاملp-Fractals and power series–II. Some applications to Hilbert-Kunz theory
We use the results of our paper p-Fractals and power series I—Some 2 variable results (Journal of Algebra 280, 2004, pp. 505–536) to prove the rationality of the Hilbert-Kunz series of a large family of power series, including those of the form ∑ i fi(xi, yi), where the fi(xi, yi) are power series with coefficients in a finite field. The methods are effective, as we illustrate with examples. In...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2006
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2005.07.033