바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

Article Contents

Prev Next
e-Submission

Vol.19 No.3

Citation Share

ZETA FUNCTIONS ON A CETAIN ORDERS IN A QUATERNION ALGEBRA

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.3, pp.297-304
https://doi.org/10.7468/jksmeb.2012.19.3.297
Kim, In-Suk
Jun, Sung-Tae
Kim,, I. , & Jun,, S. (2012). ZETA FUNCTIONS ON A CETAIN ORDERS IN A QUATERNION ALGEBRA. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 19(3), 297-304, https://doi.org/10.7468/jksmeb.2012.19.3.297

Abstract

There are several types of orders in a Quaternion algebra. Generally, zeta functions defined on orders of a Quaternion algebra give some informations on the ideal theory of orders. In this study, we investigate functional equalities between the zeta functions defined on orders of a Quaternion algebra.

keywords
zeta function, order, quaternion algebra

Reference

1.

The basis problem for modular forms and the traces of Hecke operators,Lecture Notes in Math. 320.

2.

(1959). Les fonctions <TEX>$\zeta$</TEX> des algebras simples: I, II . Seminaire Bourbaki.

3.

(2009). On the Orders in a quaternion algebra over a dyadic local field. Honam Math. J., 31(4), 611-632. 10.5831/HMJ.2009.31.4.611.

4.

(2005). The Mass formula of orders over a dyadic local field. Comm. Korean Math. Soc., 20, 231-238. 10.4134/CKMS.2005.20.2.231.

5.

(1980). An Algorithm for Computing modular forms on <TEX>$\Gamma_{0}$</TEX>(N). J. Algebra, 64, 340-390. 10.1016/0021-8693(80)90151-9.

6.

(1963). On the traces of Hecke operators. J. Fac. Sci. Univ. Tokyo, 10, 1-19.

7.

(1965). On zeta functions of quaternion algebra. Ann. of Math., 81, 166-193. 10.2307/1970389.

8.

(1963). On <TEX>$\zeta$</TEX> functions of a division algebra. Ann. of Math., 77, 387-405. 10.2307/1970221.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

e-Submission OA Policy