On Atkin-Swinnerton-Dyer congruence relations

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dc.creatorLi, Wen-Ching Winnie
dc.creatorLong, Ling
dc.creatorYang, Zifeng
dc.date2003-11-17
dc.date2004-06-23
dc.date.accessioned2026-07-07T05:02:59Z
dc.date.available2026-07-07T05:02:59Z
dc.descriptionIn this paper we exhibit a noncongruence subgroup $\G$ whose space of weight 3 cusp forms $S_3(\G)$ admits a basis satisfying the Atkin-Swinnerton-Dyer congruence relations with two weight 3 newforms for certain congruence subgroups. This gives a modularity interpretation of the motive attached to $S_3(\G)$ by A. Scholl and also verifies the Atkin-Swinnerton-Dyer congruence conjecture for this space.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0311287
dc.identifierhttp://arxiv.org/abs/math/0311287
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69229
dc.subjectNumber Theory
dc.subject11F33; 14J27
dc.titleOn Atkin-Swinnerton-Dyer congruence relations
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