Short intervals asymptotic formulae for binary problems with primes and powers. II: Density 1

DOI10.1007/s00605-015-0871-zzbMath1350.11089arXiv1504.04709OpenAlexW3047263422MaRDI QIDQ328596

Alessandro Zaccagnini, Alessandro Languasco

Publication date: 20 October 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04709

zbMATH Keywords

Waring-Goldbach problemHardy-Littlewood method

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55)

Related Items (7)

SHORT INTERVALS ASYMPTOTIC FORMULAE FOR BINARY PROBLEMS WITH PRIME POWERS, II ⋮ Sums of one prime power and two squares of primes in short intervals ⋮ A note on an average additive problem with prime numbers ⋮ Short intervals asymptotic formulae for binary problems with primes and powers. I: Density 3/2 ⋮ On an average ternary problem with prime powers ⋮ On the average number of representationsof an integer as a sum of like prime powers ⋮ Short intervals asymptotic formulae for binary problems with prime powers

Cites Work

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• Short intervals asymptotic formulae for binary problems with primes and powers. I: Density 3/2
• Sum of one prime and two squares of primes in short intervals
• On the fractional parts of {x/n} and related sequences. II, III
• On Linnik's theorem on Goldbach numbers in short intervals and related problems
• On the sum of a square and a square of a prime
• Hilbert's Inequality
• Complex analysis. Transl. from the German by Dan Fulea

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