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Addendum: On the Kuznetsov-Bruggeman formula for a Hilbert modular surface having one cusp - MaRDI portal

Addendum: On the Kuznetsov-Bruggeman formula for a Hilbert modular surface having one cusp (Q752745)

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scientific article; zbMATH DE number 4179450
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Addendum: On the Kuznetsov-Bruggeman formula for a Hilbert modular surface having one cusp
scientific article; zbMATH DE number 4179450

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    Addendum: On the Kuznetsov-Bruggeman formula for a Hilbert modular surface having one cusp (English)
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    1990
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    There is a gap in the proof of Lemma 4.26 in the above-mentioned article [ibid. 203, 59-104 (1990; Zbl 0701.11020)]. The proof implicitly assumed that there are no exceptional eigenvalues of \(SL_ 2({\mathcal O}_ K)\setminus H^ 2\). The exceptional eigenvalues for \(SL_ 2({\mathcal O}_ K)\setminus H^ 2\), if any, create additional terms. The correct result is given.
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