Generalization of Waring's Problem to Algebraic Number Fields

DOI10.2307/2371900zbMath0063.07008OpenAlexW2313657395MaRDI QIDQ5846029

Carl Ludwig Siegel

Publication date: 1944

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2371900

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Algebraic number theory: global fields (11R99)

Related Items (17)

On the Goldbach problem in algebraic number fields and the positivity of the singular integral ⋮ Hecke algebra isomorphisms and adelic points on algebraic groups ⋮ Über die Darstellung ganzer algebraischer Zahlen durch Quadrate ⋮ Solution of the Waring-Goldbach problem for algebraic number fields ⋮ Sur l'approximation du nombre de solutions de certaines équations diophantiennes ⋮ Asymptotic normality of additive functions on polynomial sequences in canonical number systems ⋮ Asymptotic normality of \(b\)-additive functions on polynomial sequences in number systems ⋮ Waring's problem for integral quaternions ⋮ Über Mittelwerte trigonometrischer Summen und ihre Anwendung in algebraischen Zahlkörpern ⋮ Über das Waringsche Problem in algebraischen Zahlkörpern ⋮ Über durch Potenzen erzeugte Ringe und Gruppen in algebraischen Zahlkörpern ⋮ Übertragung des Goldbach-Vinogradovschen Satzes auf reell-quadratische Zahlkörper ⋮ Extended Goldbach-Vinogradov theorem in arbitrary algebraic number fields ⋮ Elementare Lösung des Waringschen Problems für algebraische Zahlkörper mit der verallgemeinerten Linnikschen Methode ⋮ Waring's problem for unipotent algebraic groups ⋮ Sums of m-th powers in algebraic and Abelian number fields ⋮ Sums of k ‐th powers in number fields

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