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Two theorems of Glaisher and Kaplansky

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Publication:1048675
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DOI10.7169/facm/1261157807zbMath1233.11041OpenAlexW2085196406MaRDI QIDQ1048675

David Brink

Publication date: 7 January 2010

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1261157807


zbMATH Keywords

binary quadratic formsclass numbersrepresentation of primes


Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Class numbers of quadratic and Hermitian forms (11E41) General binary quadratic forms (11E16)


Related Items (2)

On universal zero-free ternary quadratic form representations of primes in arithmetic progressions ⋮ Threefield identities and simultaneous representations of primes by binary quadratic forms



Cites Work

  • Five peculiar theorems on simultaneous representation of primes by quadratic forms
  • Über die Klassenzahl des Körpers \(P(\sqrt{-2p})\) mit einer Primzahl \(p\ne 2\)
  • Über die Klassenzahl des Körpers \(\text{P}\left(\sqrt{-p}\right)\) mit einer Primzahl \(p\equiv1\pmod{2^ 3}\)
  • The forms $x+32y^2$ and $x+64y^2$
  • Note on primes of type x2 + 32y2, class number, and residuacity.


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