Primes in Arithmetic Progressions to Large Moduli I: Fixed Residue Classes

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Primes in Arithmetic Progressions to Large Moduli I: Fixed Residue Classes

Name: Primes in Arithmetic Progressions to Large Moduli I: Fixed Residue Classes
Brand: AMERICAN MATHEMATICAL SOCIETY
SKU: 9781470471538
Price: 197.0 AUD
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AMERICAN MATHEMATICAL SOCIETYISBN: 9781470471538

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$197.00

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By James Maynard
Imprint: AMERICAN MATHEMATICAL SOCIETY
Release Date: May 26, 2025
Format: PAPERBACK
Dimensions: 254 x 178 mm
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Pages: 132

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

James Maynard, University of Oxford, United Kingdom.

Chapters 1. Introduction 2. Comparison with previous results 3. Outline 4. Corollaries 1.2, 1.3, and 1.4 from Theorem 1.1 5. Paper structure 6. Notation 7. Sieve decomposition 8. Type II estimates 9. Estimates for numbers with 4, 5, or 6 prime factors 10. Sieve asymptotics 11. Estimates for numbers with 3 prime factors 12. Small factor Type II estimate 13. Preparatory lemmas 14. Dispersion estimates 15. Fouvry-style estimates near $x^{1/7}$ 16. Small divisor estimates near $x^{1/21}$ 17. Zhang-style estimates near $x^{1/2}$ 18. Bombieri-Friedlander-Iwaniec-style estimates near $x^{1/5}$ 19. Smoothing preparations 20. Triple divisor function estimates

Primes in Arithmetic Progressions to Large Moduli I: Fixed Residue Classes

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