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ON THE VOLUMES OF THE ORDERS IN A QUATERNION ALGEBRA
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  • Journal title : Honam Mathematical Journal
  • Volume 35, Issue 4,  2013, pp.739-746
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2013.35.4.739
 Title & Authors
ON THE VOLUMES OF THE ORDERS IN A QUATERNION ALGEBRA
Kim, Insuk;
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 Abstract
There are several ways to normalize a Haar measure on the orders in a quaternion algebra. In order to understand the arithmetic properties of orders, we study the volumes of orders and compute them for some cases.
 Keywords
zeta function;order;quaternion algebra;hecke ring;
 Language
English
 Cited by
 References
1.
M. Eichler, The basis problem for modular forms and the traces of Hecke operators, Springer-Verlag, Lecture Notes in Math., 320 (1972), 75-151.

2.
H. Hijikata, Explicit formula of the traces of the Hecke operators for ${\Gamma}_{0}$(N), J. Math. Soc. Japan, 26 (1974), 56-82. crossref(new window)

3.
H. Hijikata, A. Pizer and T. Shemanske , Orders in Quaternion Algebras, J. Reine angew Math., 394 (1989), 59-106.

4.
S. Jun, On the certain primitive orders, J. of KMS, 4 (1995), 473-481.

5.
A. Pizer, On the arithmetic of Quaternion algebras II, J. Math., Soc. Japan, 28 (1976), 676-698. crossref(new window)

6.
I. Reiner, Maximal orders Academic Press, 1975.

7.
M-F. Vigneras, The arithemetque des algebres de quaternions, Lecture Notes in Mathematics, 800 (1980).

8.
A. Weil, Basic number theory Berlin, Hedelberg, New York, Springer 1967.