Sums of Reciprocals of Polynomials over Finite Fields

DOI10.4169/AMER.MATH.MONTHLY.119.04.313zbMath1266.11129OpenAlexW2399589925WikidataQ58270301 ScholiaQ58270301MaRDI QIDQ4908518

Gary L. Mullen, Xiang-Dong Hou, Kenneth Hicks

Publication date: 6 March 2013

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.119.04.313

zbMATH Keywords

polynomials over finite fieldsproduct of polynomialssum of polynomialspolynomial reciprocals

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (6)

A power sum formula by Carlitz and its applications to permutation rational functions of finite fields ⋮ A new approach to permutation polynomials over finite fields ⋮ Rational functions of degree four that permute the projective line over a finite field ⋮ Power sums of polynomials over finite fields and applications: a survey ⋮ Fermat versus Wilson congruences, arithmetic derivatives and zeta values ⋮ Evaluation of some sums of polynomials in \(\mathbb{F}_q [t\)]

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