Effective Sato-Tate distributions for surfaces arising from products of elliptic curves

DOI10.1007/S40687-024-00470-XMaRDI QIDQ6644962

E. Shen, Quanlin Chen

Publication date: 28 November 2024

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesautomorphic \(L\)-functionsK3 surfacesSato-Tate conjecturedouble quadric surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Elliptic curves (14H52) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over global fields (11G35)

Cites Work

• Title not available (Why is that?)
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• Title not available (Why is that?)
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• A family of Calabi-Yau varieties and potential automorphy. II.
• An upper bound on conductors for pairs
• Weak subconvexity without a Ramanujan hypothesis
• Symmetric power functoriality for holomorphic modular forms
• Symmetric power functoriality for holomorphic modular forms. II.
• A constraint for twist equivalence of cusp forms on \(\mathrm{GL}(n)\)
• Effective forms of the Sato-Tate conjecture
• Standard zero-free regions for Rankin-Selberg \(L\)-functions via sieve theory
• Distribution of values of Gaussian hypergeometric functions
• On the modularity of elliptic curves over \(\mathbb Q\): wild 3-adic exercises
• The explicit Sato-Tate Conjecture and densities pertaining to Lehmer-type questions
• Sato-Tate distributions
• The L-Functions L(s, Sym^m(r), π)
• Hypergeometric Functions Over Finite Fields
• Trigonometric Approximation and Uniform Distribution Modulo One
• Zeta functions of an infinite family of K3 surfaces
• Extremal primes for elliptic curves without complex multiplication
• Explicit Sato-Tate type distribution for a family of \(K3\) surfaces

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