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• W2951292283 abstract "In this paper we study the compatible family of degree-4 Scholl representations $rho_{ell}$ associated with a space $S$ of weight $kappa> 2$ noncongruence cusp forms satisfying Quaternion Multiplications over a biquadratic field $K$. It is shown that when either $K$ is totally real or $kappa$ is odd, $rho_ell$ is automorphic, that is, its associated L-function has the same Euler factors as the L-function of an automorphic form for $GL_4(mathbb Q)$. Further, it yields a relation between the Fourier coefficients of noncongruence cusp forms in $S$ and those of certain automorphic forms via the three-term Atkin and Swinnerton-Dyer congruences." @default.
• W2951292283 created "2019-06-27" @default.
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• W2951292283 date "2010-05-22" @default.
• W2951292283 modified "2023-09-28" @default.
• W2951292283 title "Galois Representations with Quaternion Multiplications Associated to Noncongruence Modular Forms" @default.
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• W2951292283 doi "https://doi.org/10.48550/arxiv.1005.4105" @default.
• W2951292283 hasPublicationYear "2010" @default.
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