Modular Forms on Noncongruence Subgroups and Atkin--Swinnerton-Dyer Relations
Fang, Liqun ; Hoffman, J. William ; Linowitz, Benjamin ; Rupinski, Andrew ; Verrill, Helena
Experiment. Math., Tome 19 (2010) no. 1, p. 1-27 / Harvested from Project Euclid
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We give new examples of noncongruence subgroups $\Gamma\subset\SL_2(\Z)$ whose space of weight-3 cusp forms $S_3(\Gamma)$ admits a basis satisfying the Atkin--Swinnerton-Dyer congruence relations with respect to a weight-3 newform for a certain congruence subgroup.
Publié le : 2010-05-15
Classification:  Modular forms,  noncongruence subgroups,  Atkin--Swinnerton-Dyer relations,  11F11,  11F33,  11G40,  14J27 
@article{1268404801,
     author = {Fang, Liqun and Hoffman, J. William and Linowitz, Benjamin and Rupinski, Andrew and Verrill, Helena},
     title = {Modular Forms on Noncongruence Subgroups and Atkin--Swinnerton-Dyer Relations},
     journal = {Experiment. Math.},
     volume = {19},
     number = {1},
     year = {2010},
     pages = { 1-27},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1268404801}
}

Fang, Liqun; Hoffman, J. William; Linowitz, Benjamin; Rupinski, Andrew; Verrill, Helena. Modular Forms on Noncongruence Subgroups and Atkin--Swinnerton-Dyer Relations. Experiment. Math., Tome 19 (2010) no. 1, pp.  1-27. http://gdmltest.u-ga.fr/item/1268404801/