Authors: Yoshihide Nakamura Takao Watanabe
Publish Date: 2004/10/15
Volume: 115, Issue: 3, Pages: 259-280
Abstract
The ratio of the Tamagawa measure and a certain invariant measure on the group GL n Open image in new window is computed where Open image in new window is the adèle of a division algebra D over a global field An explicit formula of the ratio is described in terms of the special values of the zeta function of D This formula yields i an explicit lower bound of the Hermite–Rankin constant γ nm D of D and ii an explicit asymptotic behavior of the distribution of rational points on Brauer–Severi variety
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