Hilbert Modular Forms and Their Applications

DOI10.1007/978-3-540-74119-0_2zbMath1259.11050arXivmath/0609763OpenAlexW2141661116MaRDI QIDQ3053431

Jan Hendrik Bruinier

Publication date: 28 October 2010

Published in: The 1-2-3 of Modular Forms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609763

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Modular correspondences, etc. (11F32)

Related Items

Weakly holomorphic modular forms and rank two hyperbolic Kac-Moody algebras, Vector valued theta functions associated with binary quadratic forms, The Hilbert modular group and orthogonal groups, Modularity of Calabi–Yau Varieties: 2011 and Beyond, The rings of Hilbert modular forms for \(\mathbb{Q}(\sqrt{ 29})\) and \(\mathbb{Q}(\sqrt{ 37})\), Rank 2 symmetric hyperbolic Kac-Moody algebras and Hilbert modular forms, Poincaré square series of small weight, Degree and height estimates for modular equations on PEL Shimura varieties, Algebraic and transcendental formulas for the smallest parts function, Orbifold points on Teichmüller curves and Jacobians with complex multiplication, The geometric theta correspondence for Hilbert modular surfaces, Cones of Heegner divisors, Interpolating coefficient systems and \(p\)-ordinary cohomology of arithmetic groups, Modular polynomials on Hilbert surfaces, Eigenform product identities for Hilbert modular forms, Examples of abelian surfaces with everywhere good reduction

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