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

Häftad, Engelska, 2025

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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.

Produktinformation

Utgivningsdatum2025-02-25
Mått178 x 254 x undefined mm
FormatHäftad
SpråkEngelska
SerieMemoirs of the American Mathematical Society
Antal sidor132
FörlagAmerican Mathematical Society
ISBN9781470471538

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Chapters1. Introduction2. Comparison with previous results3. Outline4. Corollaries 1.2, 1.3, and 1.4 from Theorem 1.15. Paper structure6. Notation7. Sieve decomposition8. Type II estimates9. Estimates for numbers with 4, 5, or 6 prime factors10. Sieve asymptotics11. Estimates for numbers with 3 prime factors12. Small factor Type II estimate13. Preparatory lemmas14. Dispersion estimates15. 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 preparations20. Triple divisor function estimates