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Der \(2^n\)-te Potenzcharakter von 2 im Körper der \(2^n\)-ten Einheitswurzeln

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Publication:2394233
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DOI10.1007/BF02854527zbMath0126.06903OpenAlexW2036207297MaRDI QIDQ2394233

Helmut Hasse

Publication date: 1958

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02854527


zbMATH Keywords

number fieldspower residue character


Mathematics Subject Classification ID

Cyclotomic extensions (11R18)


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The forms $x+32y^2$ and $x+64y^2$ ⋮ The Cyclotomic Numbers of Order Sixteen ⋮ Kriterien zum 8. Potenzcharakter der Reste 3, 5 und 7 ⋮ Group algebras which are direct products of division algebras. ⋮ Über die Dichte der Primzahlen \(p\), für die eine vorgegebene ganzrationale Zahl \(a\neq 0\) von gerader bzw. ungerader Ordnung \(\mod p\) ist ⋮ On the Uniqueness of Solutions of Certain Diophantine Equations ⋮ Über die Klassenzahl des Körpers \(\text{P}\left(\sqrt{-p}\right)\) mit einer Primzahl \(p\equiv1\pmod{2^ 3}\) ⋮ On the representation of \(-1\) as a sum of two-squares in an algebraic number field ⋮ Criteria for \(n\)-th power residues



Cites Work

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  • A reciprocity law of the power residue symbol
  • Jacobi Sums as "Grossencharaktere"
  • The Sixteenth Power Residue Character of 2
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