Linnik's theorem on Goldbach numbers in short intervals

DOI10.1017/S001708950000937XzbMath0719.11065MaRDI QIDQ5750961

Daniel Alan Goldston

Publication date: 1990

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hardy-Littlewood conjectureGoldbach numbersshort intervalsgeneralized twin primes

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32)

Related Items (10)

On Linnik's theorem on Goldbach numbers in short intervals and related problems ⋮ On the singular series for primes in arithmetic progressions ⋮ On Bombieri and Davenport's theorem concerning small gaps between primes ⋮ A pair correlation hypothesis and the exceptional set in Goldbach's problem ⋮ The exceptional set for the number of primes in short intervals ⋮ Primes in short intervals ⋮ The tail of the singular series for the prime pair and Goldbach problems ⋮ Primes between consecutive powers ⋮ Elliptic curves over finite fields with Fibonacci numbers of points ⋮ Pair correlation of zeros, primes in short intervals and exponential sums over primes

Cites Work

• Topics in multiplicative number theory
• A large sieve density estimate near \(\sigma = 1\)
• THE SECOND MOMENT FOR PRIME NUMBERS
• Primes in ‘Almost All’ Short Intervals

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