JP Journal of Algebra, Number Theory and Applications
Volume 3, Issue 1, Pages 1 - 12
(April 2003)
|
|
SPECIAL VALUES OF SOME DIRICHLET SERIES ASSOCIATED TO HILBERT
MODULAR FORMS
Wang Xueli (China)
|
Abstract: For any two Hilbert modular
forms f(z)
and g(z)
with weights k and l respectively (k
> l + 4) a
kind of Dirichlet series is defined. We also
investigate the special values of the Dirichlet
series. Our results generalize the conclusions
in [Math. Z. 207 (1991), 657-660]. |
Keywords and phrases: Hilbert modular forms, Dirichlet series,
Poincare series, special values. |
|
Number of Downloads: 14 | Number of Views: 1174 |
|