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The Exceptional Set in the Two Prime Squares and a Prime Problem

✍ Scribed by Ming Qiang Wang; Xian Meng Meng


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
229 KB
Volume
22
Category
Article
ISSN
1439-7617

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The Exceptional Set for the Number of Pr
✍ D Bazzanella; A Perelli πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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