Goldbach numbers in short intervals

DOI10.2422/2036-2145.202002_001OpenAlexW3162627458MaRDI QIDQ5041376

Lasse Grimmelt

Publication date: 13 October 2022

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.202002_001

zbMATH Keywords

Goldbach's problemsievestransference principle

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Applications of sieve methods (11N36)

Cites Work

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• Exceptional set of Goldbach number
• Roth's theorem in the primes
• The ternary Goldbach problem
• On sums of sparse prime subsets
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• Restriction theory of the Selberg sieve, with applications
• A large sieve density estimate near \(\sigma = 1\)
• The Difference Between Consecutive Primes, II
• Arithmetical Aspects of the Large Sieve Inequality
• The exceptional set of Goldbach's problem
• Lagrange's Four Squares Theorem with almost prime variables.
• Additive problems with prime numbers of special type
• Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges
• On the exceptional set of Goldbach numbers in a short interval
• Vinogradov’s three primes theorem with almost twin primes
• Vinogradov's theorem with almost equal summands
• Four variants of the Fourier-analytic transference principle

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