An algebraic approach to the growth of class numbers of binary quadratic lattices

DOI10.1112/S0025579300010214zbMath0465.10014OpenAlexW2113989171MaRDI QIDQ3916633

Dennis R. Estes, Andrew G. Earnest

Publication date: 1981

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300010214

zbMATH Keywords

binary quadratic formclass numberquadratic field extensionspinor genusfiniteness of number of isometry classesisotropic binary latticestotally real algebraic number field of class number one

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic forms over global rings and fields (11E12) Class numbers of quadratic and Hermitian forms (11E41) Totally real fields (11R80)

Related Items

Galois theoretic study on simultaneous representation of primes by binary quadratic forms ⋮ Five peculiar theorems on simultaneous representation of primes by quadratic forms ⋮ Class numbers of definite binary quadratic lattices over algebraic function fields

Cites Work

• Spinor genera of binary quadratic forms
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• New types of quadratic fields having three invariants divisible by 3
• Class Groups in the Genus and Spinor Genus of Binary Quadratic Lattices
• AN EXTENSION OF HEILBRONN'S CLASS-NUMBER THEOREM
• On the Exponent of the Ideal Class Groups of Complex Quadratic Fields