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arxiv: 1004.3211 · v1 · submitted 2010-04-19 · 🧮 math.NT

On the representation of integers by indefinite binary Hermitian forms

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keywords binaryhermitianindefiniteintegersnumberabsoluteasymptoticcongruence
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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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