On type numbers of split orders of definite quaternion algebras

Yuji Hasegawa; Ki ichiro Hashimoto

doi:10.1007/BF02567839

On type numbers of split orders of definite quaternion algebras

Yuji Hasegawa^*, Ki ichiro Hashimoto

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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 language	English
Pages (from-to)	525-534
Number of pages	10
Journal	Manuscripta Mathematica
Volume	88
Issue number	1
DOIs	https://doi.org/10.1007/BF02567839
Publication status	Published - 1995 Dec 1

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

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10.1007/BF02567839

Cite this

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AU - Hashimoto, Ki ichiro

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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

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On type numbers of split orders of definite quaternion algebras

Abstract

Keywords

ASJC Scopus subject areas

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