Universal binary Hermitian forms

Author:

Earnest A.,Khosravani Azar

Abstract

We will determine (up to equivalence) all of the integral positive definite Hermitian lattices in imaginary quadratic fields of class number 1 that represent all positive integers.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference13 articles.

1. [1] W. Chan, M. H. Kim and S. Raghavan, Ternary universal integral quadratic forms over real quadratic fields, preprint.

2. [2] L. E. Dickson, Quaternary quadratic forms representing all integers, Amer. J. Math. 49 (1947), 39–56.

3. Classes of definite Hermitian forms;Gerstein, Larry J.;Amer. J. Math.,1978

4. The 7-15 problem;Venkatarayudu, T.;Proc. Indian Acad. Sci., Sect. A.,1939

5. Integral representations of hermitian forms over local fields;Johnson, Arnold A.;J. Reine Angew. Math.,1968

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