Easier Waring problems for commutative rings
نویسندگان
چکیده
منابع مشابه
On the Waring problem for polynomial rings.
In this note we discuss an analog of the classical Waring problem for C[x0,x1,...,x(n)]. Namely, we show that a general homogeneous polynomial p ∈ C[x0,x1,...,x(n)] of degree divisible by k≥2 can be represented as a sum of at most k(n) k-th powers of homogeneous polynomials in C[x0,x1,...,x(n)]. Noticeably, k(n) coincides with the number obtained by naive dimension count.
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1979
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-35-4-303-331