Eisenstein series and the Selberg trace formula. II

Jacquet, H.; Zagier, D.

doi:10.1090/S0002-9947-1987-0871663-X

Eisenstein series and the Selberg trace formula. II
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by H. Jacquet and D. Zagier

Trans. Amer. Math. Soc. 300 (1987), 1-48

DOI: https://doi.org/10.1090/S0002-9947-1987-0871663-X

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Abstract:

The integral of the kernel of the trace formula against an Eisenstein series is investigated. The analytic properties of this integral imply the divisibility of the convolution $L$-function attached to a form by the zeta function of the field.

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