On the representation of integers by indefinite binary Hermitian forms
Number Theory
2010-04-20 v1
Abstract
Given an integral indefinite binary Hermitian form f over an imaginary quadratic number field, we give a precise asymptotic equivalent to the number of nonequivalent representations, satisfying some congruence properties, of the rational integers with absolute value at most s by f, as s tends to infinity.
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Cite
@article{arxiv.1004.3211,
title = {On the representation of integers by indefinite binary Hermitian forms},
author = {Jouni Parkkonen and Frédéric Paulin},
journal= {arXiv preprint arXiv:1004.3211},
year = {2010}
}
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9 pages