Derivatives of Eisenstein Series and Generating Functions for Arithmetic Cycles

@inproceedings{KUDLA2001DerivativesOE,
title={Derivatives of Eisenstein Series and Generating Functions for Arithmetic Cycles},
author={Stephen S. KUDLA},
year={2001}
}

Stephen S. KUDLA

Published 2001

The classical formula of Siegel and Weil identifies the values of Siegel–Eisenstein series at certain critical points as integrals of theta functions. When the critical point is the center of symmetry for the functional equation, the Fourier coefficients of the values of the ‘even’ Siegel–Eisenstein series thus contain arithmetic information about the representations of quadratic forms. It is natural to ask for an arithmetic interpretation of the derivative of the ‘odd’ series at their center… CONTINUE READING