Eisenstein series and the Selberg trace formula. II

H. Jacquet, Don Zagier

Type: Article

Publication Date: 1987-01-01

Citations: 10

DOI: https://doi.org/10.1090/s0002-9947-1987-0871663-x

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 <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L"> <mml:semantics> <mml:mi>L</mml:mi> <mml:annotation encoding="application/x-tex">L</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-function attached to a form by the zeta function of the field.

Locations

Transactions of the American Mathematical Society - View - PDF

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