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On the exceptional set in Goldbach’s problem in short intervals

✍ Scribed by Kaisa Matomäki


Publisher
Springer Vienna
Year
2008
Tongue
English
Weight
199 KB
Volume
155
Category
Article
ISSN
0026-9255

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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