On the Chebotarev-Sato-Tate phenomenon (Q1627946)

scientific article; zbMATH DE number 6987935

Language	Label	Description	Also known as
English	On the Chebotarev-Sato-Tate phenomenon	scientific article; zbMATH DE number 6987935

Statements

instance of

scholarly article

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title

On the Chebotarev-Sato-Tate phenomenon (English)

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author

Peng-Jie Wong

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published in

Journal of Number Theory

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publication date

3 December 2018

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zbMATH Keywords

Chebotarev-Sato-Tate distribution

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automorphic $L$-functions

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jnt.2018.09.010

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cites work

The Sato-Tate conjecture for Hilbert modular forms

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Potential automorphy and change of weight

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The role of the Ramanujan conjecture in analytic number theory

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Effective multiplicity one on GL n and narrow zero-free regions for Rankin-Selberg L- functions

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An upper bound on conductors for pairs

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Q3597343

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Level-raising and symmetric power functoriality. I

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Level raising and symmetric power functoriality. II

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Level-raising and symmetric power functoriality. III.

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Automorphy for some $l$-adic lifts of automorphic mod $l$ Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.

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Elliptic curves over real quadratic fields are modular

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A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$

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Galois representations, automorphic forms, and the Sato-Tate conjecture

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A family of Calabi-Yau varieties and potential automorphy

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Q4830109

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Rankin-Selberg Convolutions

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Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂

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Q4263342

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The L-Functions L(s, Symm(r), π)

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Explicit formulae and the Lang-Trotter conjecture

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Modular Forms and the Chebotarev Density Theorem

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Q4386353

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Q5703068

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Atkin-Serre type conjectures for automorphic representations on $\mathrm{GL}(2)$

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The explicit Sato-Tate Conjecture and densities pertaining to Lehmer-type questions

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Quelques applications du théorème de densité de Chebotarev

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On the Holomorphy of Certain Dirichlet Series

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On the automorphy of l-adic Galois representations with small residual image With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne

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Raising the level for $\mathrm{GL}_{n}$

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Automorphy lifting for residually reducible 𝑙-adic Galois representations

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The error term in the Sato-Tate conjecture

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Q5802218

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Base change and the Birch and Swinnerton-Dyer conjecture

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Identifiers

zbMATH Open document ID

1461.11123

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Mathematics Subject Classification ID

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10.1016/J.JNT.2018.09.010

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Sitelinks

Mathematics(1 entry)

mardi Publication:1627946