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Integral Quadratic Forms and Lattices.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kim, Myung-Hwan
Otros Autores: Hsia, John S., Kitaoka, Yoshiyuki
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 1999.
Colección:Contemporary Mathematics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Contents
  • Preface
  • Arithmetic of indefinite quadratic forms
  • Universal and regular positive quadratic lattices over totally real number fields
  • Class numbers of quaternary quadratic forms of discriminant 4p
  • Universal quadratic and hermitian forms
  • 2-universal positive definite integral quinary quadratic forms
  • Finite arithmetic subgroups of GLn, VI
  • On the representation theory of positive definite quadratic forms
  • Cyclotomic analogue in the theory of algebraic equations of type E6, E7, E8
  • Globally irreducible lattices
  • On simply-connected groups over Z, with G(R) compactF-lattices and genus of hermitian forms
  • Primitive local densities for unimodular quadratic forms
  • Local densities of hermitian forms
  • Form class groups over number fields
  • Arithmetic Springer theorem on quadratic forms under field extensions of odd degree
  • Classification of positive forms having prescribed automorphisms
  • Construction and investigation of lattices with matrix groups
  • Theta series of modular, extremal, and hermitian lattices
  • Squared MÃœbius function for half-integral matrices
  • Theta series congruencesOn a denominator of a certain formal power series attached to local densities
  • Linear relations of theta series attached to Eichler orders of quaternion algebras