The strict Waring problem for polynomial rings

Luis H. Gallardo; Leonid N. Vaserstein

doi:10.1016/j.jnt.2008.07.009

The strict Waring problem for polynomial rings

Luis H. Gallardo, Leonid N. Vaserstein

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We prove among several results that under mild conditions any polynomial in F_q [t] is a strict sum of k⁴ kth powers improving on an exponential (k² 2^{k + 1}) bound of Car-Effinger-Hayes.

Original language	English (US)
Pages (from-to)	2963-2972
Number of pages	10
Journal	Journal of Number Theory
Volume	128
Issue number	12
DOIs	https://doi.org/10.1016/j.jnt.2008.07.009
State	Published - Dec 2008

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jnt.2008.07.009

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title = "The strict Waring problem for polynomial rings",

abstract = "We prove among several results that under mild conditions any polynomial in Fq [t] is a strict sum of k4 kth powers improving on an exponential (k2 2k + 1) bound of Car-Effinger-Hayes.",

author = "Gallardo, \{Luis H.\} and Vaserstein, \{Leonid N.\}",

year = "2008",

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AU - Gallardo, Luis H.

AU - Vaserstein, Leonid N.

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SP - 2963

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JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 12

ER -

The strict Waring problem for polynomial rings

Abstract

All Science Journal Classification (ASJC) codes

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