On Universal Binary Hermitian Forms

Details On Universal Binary Hermitian Forms On Universal Binary Hermitian Forms

2008-01-03

arxiv.org/abs/0801.0481v1

INTEGERS: The Electronic Journal of Combinatorial Number Theory 9, (2009), #A02

Mathematics

Number Theory

5 pages

Scientific paper

Earnest and Khosravani, Iwabuchi, and Kim and Park recently gave a complete classification of the universal binary Hermitian forms. We give a unified proof of the universalities of these Hermitian forms, relying primarily on Ramanujan's list of universal quadratic forms and on the Bhargava-Hanke 290-Theorem. Our methods bypass nearly all of the ad hoc universality arguments required in the original classification.

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