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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

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📜 SIMILAR VOLUMES


The Exceptional Set for the Number of Pr
✍ D Bazzanella; A Perelli 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 137 KB

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

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✍ 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 .