On the exceptional set for the sum of a prime and ak‐th power

DOI10.1112/S0025579300015114zbMath0760.11026OpenAlexW1964225871MaRDI QIDQ4027945

Alessandro Zaccagnini

Publication date: 3 March 1993

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300015114

zbMATH Keywords

exceptional setlarge sievesingular seriesestimates for character sums over polynomial valuessum of a prime and a higher power

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36)

Related Items

Primes in higher-order progressions on average ⋮ On exceptional sets for numbers representable by binary sums ⋮ On the sum of a prime and a \(k\)-th power of prime in short intervals ⋮ On the Goldbach conjecture in arithmetic progressions ⋮ A CONDITIONAL RESULT ON THE EXCEPTIONAL SET FOR HARDY–LITTLEWOOD NUMBERS IN SHORT INTERVALS ⋮ ON THE HARDY–LITTLEWOOD PROBLEM IN SHORT INTERVALS ⋮ On the asymptotic formula for the number of representations of numbers as the sum of a prime and a \(k\)-th power

Cites Work

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• Hilbert's Inequality
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• Note on a Result in the Additive Theory of Numbers
• The exceptional set for the sum of a prime and a square