Waring's problem for polynomial rings and the digit sum of exponents

DOI10.1007/s40993-016-0067-1zbMath1392.11078arXiv1609.01213OpenAlexW2962870773MaRDI QIDQ515994

Seth Dutter, Cole Love

Publication date: 17 March 2017

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01213

zbMATH Keywords

positive characteristiceasy Waring problempolynomials over algebraic closure of finite fieldsvariant of Waring's problem

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

Cites Work

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• Planar surfaces in positive characteristic
• Waring's problem for the ring of polynomials
• Sums of \((2^r + 1)\)-th powers in the polynomial ring \(\mathbb F_{2^m}[T\)]
• The unrestricted variant of Waring's problem in function fields
• Approximate formulas for some functions of prime numbers
• Waring's problem in function fields
• THEOREMS ON POLYNOMIALS IN A GALOIS FIELD
• SUMS OF (p^r+ 1)-TH POWERS IN THE POLYNOMIAL RING F_pm[T]

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