We investigate the exceptional set E $ (X, h) associated with the asymptotic formula for the number of primes in short intervals; see Section 1 for the definition. We first obtain two results about the basic structure of this set, proving the inertia and decrease properties; see Theorem 1. Then we t
✦ LIBER ✦
Exceptional characters and prime numbers in short intervals
✍ Scribed by John B. Friedlander; Henryk Iwaniec
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2004
- Tongue
- English
- Weight
- 180 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1022-1824
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The Exceptional Set for the Number of Pr
✍
D Bazzanella; A Perelli
📂
Article
📅
2000
🏛
Elsevier Science
🌐
English
⚖ 137 KB
On prime numbers of special kind on shor
✍
N. N. Mot’kina
📂
Article
📅
2006
🏛
SP MAIK Nauka/Interperiodica
🌐
English
⚖ 133 KB
Primes in short intervals
✍
Glyn Harman
📂
Article
📅
1982
🏛
Springer-Verlag
🌐
French
⚖ 538 KB
Primes in Short Intervals
✍
Hugh L. Montgomery; K. Soundararajan
📂
Article
📅
2004
🏛
Springer
🌐
English
⚖ 265 KB
Character Sums in Short Intervals and th
✍
M. Z. Garaev
📂
Article
📅
2006
🏛
Springer Vienna
🌐
English
⚖ 103 KB
Almost Primes in Short Intervals
✍
H.-Q. Liu
📂
Article
📅
1996
🏛
Elsevier Science
🌐
English
⚖ 674 KB
It is shown that the number of integers n for which n # (x&x % , x] and n having at most two prime factors (counting multiplicity) is greater than cx % Âlog x, here x is a sufficiently large positive number, c is some effective and positive constant, and %= 109 250 .