Five peculiar theorems on simultaneous representation of primes by quadratic forms

DOI10.1016/j.jnt.2008.04.007zbMath1209.11042OpenAlexW2069594541WikidataQ60692225 ScholiaQ60692225MaRDI QIDQ999724

David Brink

Publication date: 10 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.04.007

zbMATH Keywords

quadratic formgenus fieldring class fieldambiguous classconvenient numberprime representationRédei-Reichardt theorem

Mathematics Subject Classification ID

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

Related Items (4)

Galois theoretic study on simultaneous representation of primes by binary quadratic forms ⋮ Threefield identities and simultaneous representations of primes by binary quadratic forms ⋮ RÉDEI FIELDS AND DYADIC EXTENSIONS ⋮ Two theorems of Glaisher and Kaplansky

Cites Work

• An algebraic approach to the growth of class numbers of binary quadratic lattices
• The forms $x+32y^2$ and $x+64y^2$
• Note on primes of type x2 + 32y2, class number, and residuacity.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Five peculiar theorems on simultaneous representation of primes by quadratic forms