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Lectures on applied ℓ-adic cohomology (Q3295945)

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Language	Label	Description	Also known as
English	Lectures on applied ℓ-adic cohomology	scientific article

Statements

scholarly article

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Lectures on applied ℓ-adic cohomology (English)

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Étienne Fouvry

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William F. Sawin

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Emmanuel Kowalski

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Philippe Michel

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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/1712.03173

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zbMATH Keywords

étale sheaf

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trace function

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Weil conjectures

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Kloosterman sum

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MaRDI profile type

MaRDI publication profile

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

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How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies

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The second moment of twisted modular \(L\)-functions

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On moments of twisted L-functions

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Primes in arithmetic progressions to large moduli

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On Character Sums and Primitive Roots<sup>†</sup>

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 With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.

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La conjecture de Weil. II

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Equidistribution of roots of a quadratic congruence to prime moduli

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Around the Bombieri-Vinogradov theorem

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Sur le problème des diviseurs de Titchmarsh.

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Primes in arithmetic progressions

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The divisor function over arithmetic progressions

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Algebraic twists of modular forms and Hecke orbits

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Counting sheaves using spherical codes

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A study in sums of products

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Algebraic trace functions over the primes

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ON THE EXPONENT OF DISTRIBUTION OF THE TERNARY DIVISOR FUNCTION

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Sur certaines sommes d'exponentielles sur les nombres premiers

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On the sign change of Kloosterman sums

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On short sums of trace functions

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Incomplete Kloosterman sums and a divisor problem. Appendix: On some exponential sums by Bryan J. Birch and Enrico Bombieri

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Primes in tuples. I

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Primes in intervals of bounded length

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A family of Calabi-Yau varieties and potential automorphy

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The divisor function $d_3(n)$ in arithmetic progressions

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On the Voronoĭ formula for GL(<i>n</i>)

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The Divisor Function in Arithmetic Progressions to Smooth Moduli

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Estimates for Character Sums and Dirichlet<i>L</i>-Functions to Smooth Moduli

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The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros

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Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)

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Exponential Sums and Differential Equations. (AM-124)

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Exponential sums over finite fields and differential equations over the complex numbers: Some interactions

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Rigid Local Systems. (AM-139)

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Moments, Monodromy, and Perversity. (AM-159)

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Convolution and Equidistribution

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Nonvanishing of Dirichlet \(L\)-functions

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The Voronoi formula and double Dirichlet series

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Bilinear forms with Kloosterman sums and applications

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Rankin-Selberg \(L\)-functions in the level aspect.

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Fourier transformat, constants of the functional equations and Weil conjecture

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A note on signs of Kloosterman sums

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Large gaps between primes

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On the Sato-Tate conjecture for Kloosterman sums

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Lower bounds of exponential sums

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Non-vanishing of high derivatives of Dirichlet \(L\)-functions at the central point

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Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)

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ON THE LEAST SQUAREFREE NUMBER IN AN ARITHMETIC PROGRESSION

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New equidistribution estimates of Zhang type

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Variants of the Selberg sieve, and bounded intervals containing many primes

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Über die kleinste quadratfreie Zahl einer arithmetischen Reihe

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Families of L-Functions and Their Symmetry

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Crible asymptotique et sommes de Kloosterman

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Small gaps between prime numbers: The work of Goldston-Pintz-Yildirim

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

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On the Riemann Hypothesis in Function-Fields

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Sign changes of Kloosterman sums with almost prime moduli

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The fourth moment of Dirichlet \(L\)-functions

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Bounded gaps between primes

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Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier

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Identifiers

zbMATH Open document ID

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10.1090/conm/740/14903

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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