Sums of m-th powers in algebraic and Abelian number fields

DOI10.1007/BF01899421zbMath0281.10025OpenAlexW2019134359MaRDI QIDQ1843590

M. Bhaskaran

Publication date: 1966

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01899421

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Additive number theory; partitions (11P99) Representation problems (11D85)

Related Items (5)

An analogue of Furstenberg-Sárközy's theorem and an alternative solution to Waring's problem over finite fields ⋮ Waring's problem in finite rings ⋮ Counting compositions over finite abelian groups ⋮ Über durch Potenzen erzeugte Ringe und Gruppen in algebraischen Zahlkörpern ⋮ A new proof for the law of decomposition in a general cyclotomic field

Cites Work

• Waring's problem for algebraic number fields and primes of the form \((p^ r -1)/(p^ d-1)\)
• Sums of \(n\)-th powers in fields of prime characteristic
• Sums of \(m\)th powers of algebraic integers
• The easier Waring problem in algebraic number fields
• Waring's problem for p-adic number fields
• Sums of m ‐th powers in p ‐adic rings
• Generalization of Waring's Problem to Algebraic Number Fields

This page was built for publication: Sums of m-th powers in algebraic and Abelian number fields