Averages of central $L$ -values of Hilbert modular forms with an application to subconvexity

Feigon, Brooke; Whitehouse, David

Duke Math. J., Tome 146 (2009) no. 1, p. 347-410 / Harvested from Project Euclid

Résumé

We use the relative trace formula to obtain exact formulas for central values of certain twisted quadratic base change $L$ -functions averaged over Hilbert modular forms of a fixed weight and level. We apply these formulas to the subconvexity problem for these $L$ -functions. We also establish an equidistribution result for the Hecke eigenvalues weighted by these $L$ -values

Publié le : 2009-08-15
Classification: 11M41, 11F72, 11F67

@article{1248182809,
     author = {Feigon, Brooke and Whitehouse, David},
     title = {Averages of central $L$ -values of Hilbert modular forms with an application to subconvexity},
     journal = {Duke Math. J.},
     volume = {146},
     number = {1},
     year = {2009},
     pages = { 347-410},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1248182809}
}

Feigon, Brooke; Whitehouse, David. Averages of central $L$ -values of Hilbert modular forms with an application to subconvexity. Duke Math. J., Tome 146 (2009) no. 1, pp.  347-410. http://gdmltest.u-ga.fr/item/1248182809/