Numerical calculation of twisted adjoint $L$-values attached to modular forms
Hiraoka, Yoshio
Experiment. Math., Tome 9 (2000) no. 3, p. 67-73 / Harvested from Project Euclid
Doi, Hida, and Ishii have shown that the values of twisted adjoint $L$-functions $L(1,\Ad(f)\otimes\chi)$ attached to modular forms $f$ are closely connected with discriminants of Hecke fields. Goto has given a numerical example of this $L$-value for an elliptic cusp form $f$ of level $1$ and weight $20$. We shall show a method to calculate the $L$-values, which is more effective than Goto's, and give new numerical examples.
Publié le : 2000-05-14
Classification:  11F67,  11F41
@article{1046889591,
     author = {Hiraoka, Yoshio},
     title = {Numerical calculation of twisted adjoint $L$-values attached to modular forms},
     journal = {Experiment. Math.},
     volume = {9},
     number = {3},
     year = {2000},
     pages = { 67-73},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1046889591}
}
Hiraoka, Yoshio. Numerical calculation of twisted adjoint $L$-values attached to modular forms. Experiment. Math., Tome 9 (2000) no. 3, pp.  67-73. http://gdmltest.u-ga.fr/item/1046889591/