Waring's problem for the ring of polynomials

DOI10.1016/0022-314X(79)90027-1zbMath0407.10039OpenAlexW2167979313MaRDI QIDQ1257925

Donald J. Newman, Morton L. Slater

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-314x(79)90027-1

zbMATH Keywords

Waring's ProblemRing of Polynomials

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Additive number theory; partitions (11P99)

Related Items (20)

Research questions on meromorphic functions and complex differential equations ⋮ Equal sums of three powers ⋮ Waring's problem for algebras over fields ⋮ Vanishing Polynomial Sums ⋮ Every integer is a sum or difference of 28 integral eighth powers ⋮ Planar surfaces in positive characteristic ⋮ On the existence of solutions of a Fermat-type difference equation ⋮ On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations ⋮ Diagonal equations over function fields ⋮ Meromorphic solutions of Fermat type differential and difference equations of certain types ⋮ Entire and meromorphic solutions of the functional equation \(f^n+g^n+h^n=1\) and differential equations ⋮ Secant degeneracy index of the standard strata in the space of binary forms ⋮ Infinite easier Waring constants for commutative rings ⋮ Waring's problem for polynomial rings and the digit sum of exponents ⋮ Sums of Cubes in Quaternion Rings ⋮ Waring's problem for linear polynomials and Laurent polynomials ⋮ Restrictions on meromorphic solutions of Fermat type equations ⋮ Linearly dependent powers of binary quadratic forms ⋮ Diophantine equations over function fields ⋮ Difference radical in terms of shifting zero and applications to the Stothers-Mason theorem

Cites Work

• On the Number of Distinct Zeros of Polynomials
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