Duke Mathematical Journal

On an exact mass formula of Shimura

Wee Teck Gan, Jonathan P. Hanke, and Jiu-Kang Yu

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In a series of recent papers, G. Shimura obtained an exact formula for the mass of a maximal lattice in a quadratic or hermitian space over a totally real number field. Using Bruhat-Tits theory, we obtain a quick and more conceptual proof of his formula when the form is totally definite.

Article information

Duke Math. J. Volume 107, Number 1 (2001), 103-133.

First available in Project Euclid: 5 August 2004

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Mathematical Reviews number (MathSciNet)

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Zentralblatt MATH identifier

Primary: 11E57: Classical groups [See also 14Lxx, 20Gxx]
Secondary: 11E41: Class numbers of quadratic and Hermitian forms 20G35: Linear algebraic groups over adèles and other rings and schemes


Gan, Wee Teck; Hanke, Jonathan P.; Yu, Jiu-Kang. On an exact mass formula of Shimura. Duke Math. J. 107 (2001), no. 1, 103--133. doi:10.1215/S0012-7094-01-10716-3. http://projecteuclid.org/euclid.dmj/1091736138.

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