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Primes in Arithmetic Progressions to Large Moduli I: Fixed Residue Classes
| Softcover ISBN: | 978-1-4704-7153-8 |
| Product Code: | MEMO/306/1542 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-8050-9 |
| Product Code: | MEMO/306/1542.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-7153-8 |
| eBook: ISBN: | 978-1-4704-8050-9 |
| Product Code: | MEMO/306/1542.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Primes in Arithmetic Progressions to Large Moduli I: Fixed Residue Classes
| Softcover ISBN: | 978-1-4704-7153-8 |
| Product Code: | MEMO/306/1542 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-8050-9 |
| Product Code: | MEMO/306/1542.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-7153-8 |
| eBook ISBN: | 978-1-4704-8050-9 |
| Product Code: | MEMO/306/1542.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 306; 2025; 132 ppMSC: Primary 11
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Table of Contents
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Chapters
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1. Introduction
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2. Comparison with previous results
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3. Outline
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4. Corollaries 1.2, 1.3, and 1.4 from Theorem 1.1
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5. Paper structure
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6. Notation
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7. Sieve decomposition
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8. Type II estimates
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9. Estimates for numbers with 4, 5, or 6 prime factors
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10. Sieve asymptotics
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11. Estimates for numbers with 3 prime factors
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12. Small factor Type II estimate
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13. Preparatory lemmas
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14. Dispersion estimates
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15. Fouvry-style estimates near $x^{1/7}$
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16. Small divisor estimates near $x^{1/21}$
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17. Zhang-style estimates near $x^{1/2}$
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18. Bombieri–Friedlander–Iwaniec-style estimates near $x^{1/5}$
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19. Smoothing preparations
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20. Triple divisor function estimates
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 306; 2025; 132 pp
MSC: Primary 11
-
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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.