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arXiv · 1004.3211

On the representation of integers by indefinite binary Hermitian forms

Jouni Parkkonen·Frédéric Paulin
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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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Jouni Parkkonen, Frédéric Paulin. 2010-04-19. On the representation of integers by indefinite binary Hermitian forms. https://arxiv.org/abs/1004.3211

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