scholarly journals Construction of normal bases by special values of Hilbert modular functions

1997 ◽  
Vol 73 (3) ◽  
pp. 42-44
Author(s):  
Keiichi Komatsu
Keyword(s):  
Modular Functions ◽  
Normal Bases ◽  
Special Values ◽  
Hilbert Modular

scholarly journals ON THE SPECIAL VALUES OF L-FUNCTIONS OF CM-BASE CHANGE FOR HILBERT MODULAR FORMS

2013 ◽  
Vol 56 (1) ◽  
pp. 57-63
Author(s):  
CRISTIAN VIRDOL
Keyword(s):  
Finite Order ◽  
Modular Forms ◽  
Number Fields ◽  
Base Change ◽  
Hilbert Modular Forms ◽  
Special Values ◽  
Finite Dimensional ◽  
Arbitrary Base ◽  
Hilbert Modular

AbstractIn this paper we generalize some results, obtained by Shimura, on the special values of L-functions of l-adic representations attached to quadratic CM-base change of Hilbert modular forms twisted by finite order characters. The generalization is to the case of the special values of L-functions of arbitrary base change to CM-number fields of l-adic representations attached to Hilbert modular forms twisted by some finite-dimensional representations.

CM-values of Hilbert modular functions

2005 ◽  
Vol 163 (2) ◽  
pp. 229-288 ◽  
Author(s):  
Jan Hendrik Bruinier ◽  
Tonghai Yang
Keyword(s):  
Modular Functions ◽  
Hilbert Modular
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