On type numbers of split orders of definite quaternion algebras

Yuji Hasegawa, Ki ichiro Hashimoto

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Abstract

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.

Original languageEnglish
Pages (from-to)525-534
Number of pages10
JournalManuscripta Mathematica
Volume88
Issue number1
DOIs
Publication statusPublished - 1995 Dec 1

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Keywords

  • 1993 Mathematics Subject Classification: 11R52, 11F11, 11F25

ASJC Scopus subject areas

  • Mathematics(all)

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