Sum Formula for Kloosterman Sums and Fourth Moment of the Dedekind Zeta-function over the Gaussian Number Field
نویسنده
چکیده
We prove the Kloosterman–Spectral sum formula for PSL2(Z[i])\PSL2(C), and apply it to derive an explicit spectral expansion for the fourth power moment of the Dedekind zeta function of the Gaussian number field. Our sum formula, Theorem 13.1, allows the extension of the spectral theory of Kloosterman sums to all algebraic number fields.
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تاریخ انتشار 2008