On Universal Binary Hermitian Forms
Number Theory
2011-11-11 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0801.0481,
title = {On Universal Binary Hermitian Forms},
author = {Scott D. Kominers},
journal= {arXiv preprint arXiv:0801.0481},
year = {2011}
}
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5 pages