The derivative of an incoherent Eisenstein series

Xue, Hui

doi:10.1090/S0002-9947-2012-05589-9

The derivative of an incoherent Eisenstein series
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Trans. Amer. Math. Soc. 364 (2012), 3311-3327 Request permission

Abstract:

In this paper we study the derivative at the center of symmetry of an incoherent Eisenstein series which is associated to an imaginary quadratic field. We show that each nonconstant Fourier coefficient of the derivative can be expressed as the degree of certain zero cycles on a moduli scheme. This result is a generalization of the work by Kudla-Rapoport-Yang.

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