A CONDITIONAL RESULT ON THE EXCEPTIONAL SET FOR HARDY–LITTLEWOOD NUMBERS IN SHORT INTERVALS

DOI10.1142/S179304210900247XzbMath1251.11068MaRDI QIDQ3644234

Alessandro Languasco

Publication date: 3 November 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

circle methodHardy-Littlewood numbersexceptions in short intervalssums of a prime and a power

Mathematics Subject Classification ID

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

Cites Work

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• On the fractional parts of {x/n} and related sequences. II, III
• On the sum of a prime and a square
• On Linnik's theorem on Goldbach numbers in short intervals and related problems
• On the prime ideal theorem and irregularities in the distribution of primes
• Hardy-Littlewood numbers in short intervals
• A large sieve density estimate near \(\sigma = 1\)
• On the exceptional set for the sum of a prime and ak‐th power
• The Addition of Primes and Power
• The exceptional set for the sum of a prime and a square

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