Sato-Tate distributions (Q3295946)

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scientific article

Language	Label	Description	Also known as
English	Sato-Tate distributions	scientific article

Statements

scholarly article

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Sato-Tate distributions (English)

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Andrew V. Sutherland

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Analytic Methods in Arithmetic Geometry

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publication date

3 July 2020

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full work available at URL

https://arxiv.org/abs/1604.01256

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describes a project that uses

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MaRDI profile type

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Notes on an analogue of the Fontaine-Mazur conjecture

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On the distribution of the number of points on algebraic curves in extensions of finite fields

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An algebraic Sato-Tate group and Sato-Tate conjecture

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Motivic Serre group, algebraic Sato-Tate group and Sato-Tate conjecture

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The Sato-Tate conjecture for Hilbert modular forms

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A family of Calabi-Yau varieties and potential automorphy. II.

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The Magma algebra system. I: The user language

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On the modularity of elliptic curves over \(\mathbb Q\): wild 3-adic exercises

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An application of the effective Sato-Tate conjecture

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The probability that the number of points on the Jacobian of a genus 2 curve is prime

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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 With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.

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Arithmetic Properties of the Frobenius Traces Defined by a Rational Abelian Variety (with two appendices by J-P. Serre)

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La conjecture de Weil. I

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La conjecture de Weil. II

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Hodge cycles, motives, and Shimura varieties

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Finiteness theorems for abelian varieties over number fields.

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Equidistribution, L-functions, and Sato-Tate groups

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Sato–Tate distributions and Galois endomorphism modules in genus 2

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Sato-Tate groups of some weight 3 motives

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Sato-Tate distributions of twists of \(y^2=x^5-x\) and \(y^2=x^6+1\)

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Sato-Tate groups of 𝑦²=𝑥⁸+𝑐 and 𝑦²=𝑥⁷-𝑐𝑥.

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Modern computer algebra

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Random walks in Weyl chambers and the decomposition of tensor powers

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An open-image theorem for a general class of abelian varieties

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A family of Calabi-Yau varieties and potential automorphy

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Fast Library for Number Theory: An Introduction

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Kedlaya's Algorithm in Larger Characteristic

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Counting points on hyperelliptic curves in average polynomial time

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Computing zeta functions of arithmetic schemes

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Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time

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Computing Hasse–Witt matrices of hyperelliptic curves in average polynomial time, II

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On the Sato-Tate conjecture for non-generic abelian surfaces

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Lattices of continuous functions

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Algorithmic Number Theory

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Computing L-Series of Hyperelliptic Curves

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Hyperelliptic curves, L-polynomials, and random matrices

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Fast Polynomial Factorization and Modular Composition

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A Database for Field Extensions of the Rationals

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Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers

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Hodge classes on abelian varieties of low dimension

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A note of Shimura's paper: Discontinuous groups and Abelian varieties

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Non-vanishing of \(L\)-functions and applications

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Explicit formulae and the Lang-Trotter conjecture

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Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin

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Frobenius Maps of Abelian Varieties and Finding Roots of Unity in Finite Fields

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Ordinary primes for abelian surfaces

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Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p

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Counting points on elliptic curves over finite fields

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Galois properties of points of finite order of elliptic curves

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Character theory approach to Sato–Tate groups

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The Arithmetic of Elliptic Curves

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Linear algebraic groups.

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Catalan Numbers

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Structure computation and discrete logarithms in finite abelian $p$-groups

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Endomorphisms of Abelian varieties over finite fields

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Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II

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Ring-theoretic properties of certain Hecke algebras

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The error term in the Sato-Tate conjecture

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On the CM character of the curves \(y^ 2=x^ q-1\)

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Numbers of solutions of equations in finite fields

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Modular elliptic curves and Fermat's Last Theorem

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Hyperelliptic Jacobians without complex multiplication

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Identifiers

zbMATH Open document ID

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10.1090/conm/740/14904

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3295946

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