Class numbers of positive definite ternary quaternion Hermitian forms

DOI10.3792/pjaa.59.490zbMath0539.10020OpenAlexW1993615558MaRDI QIDQ793770

Ki-ichiro Hashimoto

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.490

zbMATH Keywords

explicit formulasclass numbers of generaquaternion Hermitian formsternary quaternion Hermitian lattices of prime discriminanttraces of Brandt matrices

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Class numbers of quadratic and Hermitian forms (11E41) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (13)

Principal polarizations of supersingular abelian surfaces ⋮ On automorphic forms on the unitary symplectic group \(\mathrm{Sp}(n)\) and \(\mathrm{SL}_ 2(\mathbb R)\) ⋮ Maximality of Ciani curves over finite fields ⋮ Efficient search for superspecial hyperelliptic curves of genus four with automorphism group containing \(\mathbf{C}_6\) ⋮ Fast enumeration of superspecial hyperelliptic curves of genus 4 with automorphism group \(V_4\) ⋮ Cycles on Siegel threefolds and derivatives of Eisenstein series ⋮ Decomposed Richelot isogenies of Jacobian varieties of curves of genus 3 ⋮ Class numbers of positive definite binary and ternary unimodular Hermitian forms ⋮ Unnamed Item ⋮ Mass formula and Oort's conjecture for supersingular abelian threefolds ⋮ On the existence of superspecial and maximal nonhyperelliptic curves of genera four and five ⋮ Computational approach to enumerate non-hyperelliptic superspecial curves of genus 4 ⋮ On rational points of curves of genus 3 over finite fields

Cites Work

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