Representations of ternary quadratic forms and the class number of imaginary quadratic fields

DOI10.2140/pjm.1986.122.223zbMath0585.10013OpenAlexW2044921524MaRDI QIDQ1071046

Thomas R. Shemanske

Publication date: 1986

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1986.122.223

zbMATH Keywords

quaternion algebraternary quadratic formsmaximal ordernorm formclass numbers of imaginary quadratic fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12) Class numbers, class groups, discriminants (11R29) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (4)

Congruence modulo 4 for Andrews' even parts below odd parts partition function ⋮ On integral representations by totally positive ternary quadratic forms ⋮ CONGRUENCES MODULO 4 FOR WEIGHT ETA-PRODUCTS ⋮ Ternary quadratic forms and quaternion algebras

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