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EM
2010
202views Management» more  EM 2010»
15 years 3 months ago
Modular Forms on Noncongruence Subgroups and Atkin-Swinnerton-Dyer Relations
We give an example of a noncongruence subgroup Γ ⊂ SL(2, Z) whose space of weight 3 cusp forms S3(Γ) admits a basis satisfying the Atkin-Swinnerton-Dyer congruence relations wi...
Liqun Fang, J. William Hoffman, Benjamin Linowitz,...
165
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EM
2010
155views Management» more  EM 2010»
15 years 4 months ago
Hyperbolic Graphs of Small Complexity
In this paper we enumerate and classify the "simplest" pairs (M, G) where M is a closed orientable 3-manifold and G is a trivalent graph embedded in M. To enumerate the p...
Damian Heard, Craig Hodgson, Bruno Martelli, Carlo...
132
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EM
2010
154views Management» more  EM 2010»
14 years 11 months ago
Higher-Weight Heegner Points
In this paper we formulate a conjecture which partially generalizes the Gross-Kohnen-Zagier theorem to higher weight modular forms. For f S2k(N) satisfying certain conditions, we c...
Kimberly Hopkins
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