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Applications of spinor class fields: embeddings of orders and quaternionic lattices

Luis Arenas-Carmona (2003)

Annales de l'Institut Fourier

We extend the theory of spinor class fields and relative spinor class fields to study representation problems in several classical linear algebraic groups over number fields. We apply this theory to study the set of isomorphism classes of maximal orders of central simple algebras containing a given maximal Abelian suborder. We also study isometric embeddings of one skew-Hermitian Quaternionic lattice into another.

Arithmetic of the modular function $j_{1, 4}$

Chang Heon Kim, Ja Kyung Koo (1998)

Acta Arithmetica

We find a generator $j_{1, 4}$ of the function field on the modular curve X₁(4) by means of classical theta functions θ₂ and θ₃, and estimate the normalized generator $N (j_{1, 4})$ which becomes the Thompson series of type 4C. With these modular functions we investigate some number theoretic properties.

Displaying 21 – 25 of 25

Applications of spinor class fields: embeddings of orders and quaternionic lattices

Arithmetic of the modular function $j_{1, 4}$

Arithmetik in Frobeniuserweiterungen.

Arithmetische Theorie der kubischen Zahlkörper auf klassenkörpertheoretischer Grundlage

Aspects numériques de la détermination du l-groupe des classes d'idéaux des extensions cycliques de degré premier l

Currently displaying 21 – 25 of 25

Displaying 21 – 25 of 25

Applications of spinor class fields: embeddings of orders and quaternionic lattices

Arithmetic of the modular function j 1 , 4

Arithmetik in Frobeniuserweiterungen.

Arithmetische Theorie der kubischen Zahlkörper auf klassenkörpertheoretischer Grundlage

Aspects numériques de la détermination du l-groupe des classes d'idéaux des extensions cycliques de degré premier l

Currently displaying 21 – 25 of 25

Arithmetic of the modular function $j_{1, 4}$