An explicit formula for Siegel series

Authors
Katsurada, H
Citation
H. Katsurada, An explicit formula for Siegel series, AM J MATH, 121(2), 1999, pp. 415-452
Citations number
23
Categorie Soggetti
Mathematics
Journal title
AMERICAN JOURNAL OF MATHEMATICS
ISSN journal
00029327 → ACNP
Volume
121
Issue
2
Year of publication
1999
Pages
415 - 452
Database
ISI
SICI code
0002-9327(199904)121:2<415:AEFFSS>2.0.ZU;2-M
Abstract
Combining induction formulas for local densities with a functional equation for the Siegel series, we give an explicit formula for the Siegel series. By this formula, we also give an explicit formula for the Fourier coefficie nts of the Siegel Eisenstein series.