Integral Quadratic Forms and Lattices.
Kim, Myung-Hwan.
Integral Quadratic Forms and Lattices. - 1st ed. - 1 online resource (314 pages) - Contemporary Mathematics ; v.249 . - Contemporary Mathematics .
Intro -- 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) compact -- F-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 Möbius function for half-integral matrices -- Theta series congruences -- On a denominator of a certain formal power series attached to local densities -- Linear relations of theta series attached to Eichler orders of quaternion algebras.
9780821878392
Forms, Quadratic -- Congresses.
Lattice theory -- Congresses.
Electronic books.
QA243 -- .I55 1998eb
512/.74
Integral Quadratic Forms and Lattices. - 1st ed. - 1 online resource (314 pages) - Contemporary Mathematics ; v.249 . - Contemporary Mathematics .
Intro -- 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) compact -- F-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 Möbius function for half-integral matrices -- Theta series congruences -- On a denominator of a certain formal power series attached to local densities -- Linear relations of theta series attached to Eichler orders of quaternion algebras.
9780821878392
Forms, Quadratic -- Congresses.
Lattice theory -- Congresses.
Electronic books.
QA243 -- .I55 1998eb
512/.74