The strict Waring problem for polynomial rings

Luis H. Gallardo, L. N. Vaserstein

Type: Article

Publication Date: 2008-10-02

Citations: 19

DOI: https://doi.org/10.1016/j.jnt.2008.07.009

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Locations

Journal of Number Theory - View

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Works That Cite This (18)

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+ PDF Chat	The unrestricted variant of Waring's problem in function fields	2007	Yuru Liu Trevor D. Wooley
+ PDF Chat	SUMS OF (p<sup>r</sup>+ 1)-TH POWERS IN THE POLYNOMIAL RING F<sub>p</sub><sub>m</sub>[T]	2012	Mireille Car
+ PDF Chat	Infinite easier Waring constants for commutative rings	2011	Ted Chinburg
+	Sums of seventh powers of polynomials over a finite field with 8 elements	2015	Mireille Car
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+ PDF Chat	Computers as novel mathematical reality: V. Easier Waring problem	2022	N. A. Vavilov
+ PDF Chat	Efficient Evaluation of Noncommutative Polynomials Using Tensor and Noncommutative Waring Decompositions	2020	Eric Evert J. William Helton Shiyuan Huang Jiawang Nie
+ PDF Chat	Algebraic Stories from One and from the Other Pockets	2018	Ralf Fröberg Samuel Lundqvist Alessandro Oneto Boris Shapiro
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Works Cited by This (17)

Action	Title	Year	Authors
+	Waring's problem for cubes and squares over a finite field of even characteristic	2005	Luis Gallardo
+	Additive Number Theory of Polynomials Over a Finite Field	1991	Gove Effinger David R. Hayes
+ PDF Chat	Numerical results for Waring’s problem in 𝐺𝐹[𝑞,𝑥]	1973	William A. Webb
+ PDF Chat	Sums of Biquadrates and Cubes inF q [ t ]	2003	Luis Gallardo
+ PDF Chat	Sums of cubes of polynomials	2004	Mireille Car Luis Gallardo
+ PDF Chat	Multiplicative subgroups of finite index in a ring	1992	Vitaly Bergelson Daniel B. Shapiro
+	Sums of n-th powers in fields of prime characteristic	1938	Leonard Tornheim
+ PDF Chat	Numbers of solutions of equations in finite fields	1949	André Weil
+	Sums of an even number of squares in GF[pn,x]	1947	Eckford Cohen
+	THEOREMS ON POLYNOMIALS IN A GALOIS FIELD	1933	R. E. A. C. Paley