Fourier coefficients of Hilbert cusp forms associated to mixed Hilbert cusp forms
Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1
Min Ho Lee. Fourier coefficients of Hilbert cusp forms
associated to mixed Hilbert cusp forms. Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a2/
@article{AMUC_2010_79_1_a2,
     author = {Min Ho Lee},
     title = {Fourier coefficients of {Hilbert} cusp forms
associated to mixed {Hilbert} cusp forms},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2010},
     volume = {79},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a2/}
}
TY  - JOUR
AU  - Min Ho Lee
TI  - Fourier coefficients of Hilbert cusp forms
associated to mixed Hilbert cusp forms
JO  - Acta mathematica Universitatis Comenianae
PY  - 2010
VL  - 79
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a2/
ID  - AMUC_2010_79_1_a2
ER  - 
%0 Journal Article
%A Min Ho Lee
%T Fourier coefficients of Hilbert cusp forms
associated to mixed Hilbert cusp forms
%J Acta mathematica Universitatis Comenianae
%D 2010
%V 79
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a2/
%F AMUC_2010_79_1_a2

Voir la notice de l'article provenant de la source Comenius University

We express the Fourier coefficients of the Hilbert cusp form body L h * associated to mixed Hilbert cusp forms f and h in terms of the Fourier coefficients of a certain periodic function determined by f and h . We also obtain an expression of each Fourier coefficient of L h * as an infinite series involving the Fourier coefficients of f and h . <br><B>Keywords</b>:&nbsp; quadratic forms; splitting polynomials; formal derivatives; finite fields; characteristic 2. &nbsp; <br><br>