scientific article; zbMATH DE number 779253

DOI10.1155/S1073792895000080zbMath0843.11024arXivmath/9411212MaRDI QIDQ4842213

William Duke

Publication date: 13 August 1996

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9411212

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zbMATH Keywords

upper bounddimensionmodular curvesFourier coefficientsGalois representationsspace of differential formsquartic fieldsnormalized newformsweight onespace of holomorphic cusp forms

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Holomorphic modular forms of integral weight (11F11) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Langlands-Weil conjectures, nonabelian class field theory (11R39)

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Large sieve inequalities for \(\text{GL}(n)\)-forms in the conductor aspect ⋮ Low-lying zeros of dihedral \(L\)-functions ⋮ Vanishing Fourier coefficients of Hecke eigenforms ⋮ On the average number of octahedral newforms of prime level ⋮ Beyond Endoscopy and special forms on GL(2) ⋮ Cusp forms of weight 1 associated to Fermat curves ⋮ Some non-congruence subgroups and the associated modular curves ⋮ Bounds for the multiplicities of cohomological automorphic forms on \(\mathrm{GL}_2\) ⋮ ON THE DIMENSION OF THE SPACE OF CUSP FORMS OF OCTAHEDRAL TYPE ⋮ An effective Chebotarev density theorem for families of number fields, with an application to \(\ell \)-torsion in class groups ⋮ Nonabelian Hodge theory and vector valued modular forms

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