TY - JOUR
T1 - On type numbers of split orders of definite quaternion algebras
AU - Hasegawa, Yuji
AU - Hashimoto, Ki ichiro
PY - 1995/12/1
Y1 - 1995/12/1
N2 - In this paper, we shall give a new relation between the arithmetic of quaternion algebras and modular forms; we shall express the type number T q, N of a split order of type (q, N) as the sums of dimensions of some subspaces of the space of cusp forms of weight 2 with respect to Γ0(qN) which are common eigenspaces of Atkin-Lehner's involutions.
AB - In this paper, we shall give a new relation between the arithmetic of quaternion algebras and modular forms; we shall express the type number T q, N of a split order of type (q, N) as the sums of dimensions of some subspaces of the space of cusp forms of weight 2 with respect to Γ0(qN) which are common eigenspaces of Atkin-Lehner's involutions.
KW - 1993 Mathematics Subject Classification: 11R52, 11F11, 11F25
UR - http://www.scopus.com/inward/record.url?scp=51649132677&partnerID=8YFLogxK
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U2 - 10.1007/BF02567839
DO - 10.1007/BF02567839
M3 - Article
AN - SCOPUS:51649132677
VL - 88
SP - 525
EP - 534
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
SN - 0025-2611
IS - 1
ER -