Squared Mobius function for half-integral matrices and its applications

Authors
Ibukiyama, T Katsurada, H
Citation
T. Ibukiyama et H. Katsurada, Squared Mobius function for half-integral matrices and its applications, J NUMBER TH, 86(1), 2001, pp. 78-117
Citations number
19
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF NUMBER THEORY
ISSN journal
0022314X → ACNP
Volume
86
Issue
1
Year of publication
2001
Pages
78 - 117
Database
ISI
SICI code
0022-314X(200101)86:1<78:SMFFHM>2.0.ZU;2-D
Abstract
We define an analogue of the square of the usual Mobius function on the set of non-degenerate half-integral matrices. By using this function, we give a reasonable expression of the Koecher-MaaB Dirichlet series for a Siegel M odular form. In addition, we give another proof to a main result of (T. Ibu kiyama and H. Saito, 1995, Amer. J. Math. 117, 1097-1155) oil the zeta func tions for symmetric matrices. (C) 2001 Academic Press.