On Linnik's theorem on Goldbach numbers in short intervals and related problems

DOI10.5802/aif.1399zbMath0799.11040OpenAlexW2330541798MaRDI QIDQ1337024

Alberto Perelli, Alessandro Languasco

Publication date: 20 November 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1994__44_2_307_0

zbMATH Keywords

Goldbach problemexponential sums over primesParseval's identityLinnik's theoremGoldbach numbers in short intervalsLavrik's result

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Goldbach-type theorems; other additive questions involving primes (11P32) Sums over primes (11L20)

Related Items (13)

The number of Goldbach representations of an integer ⋮ Short intervals asymptotic formulae for binary problems with primes and powers. II: Density 1 ⋮ Cesàro average in short intervals for Goldbach numbers ⋮ Sums of many primes ⋮ A pair correlation hypothesis and the exceptional set in Goldbach's problem ⋮ Unnamed Item ⋮ A mean value of the representation function for the sum of two primes in arithmetic progressions ⋮ Some refinements for error terms estimates for certain additive problems with primes ⋮ A remark on the conditional estimate for the sum of a prime and a square ⋮ 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 ⋮ A CONDITIONAL RESULT ON THE EXCEPTIONAL SET FOR HARDY–LITTLEWOOD NUMBERS IN SHORT INTERVALS ⋮ Pair correlation of zeros, primes in short intervals and exponential sums over primes

Cites Work

• On the fractional parts of {x/n} and related sequences. II, III
• Some consequences of the Riemann hypothesis
• The exceptional set of Goldbach's problem
• Linnik's theorem on Goldbach numbers in short intervals
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