Integral Quadratic Forms and Lattices.

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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.