A Bombieri-Vinogradov type exponential sum result with applications

DOI10.1016/j.jnt.2009.01.010zbMath1179.11025OpenAlexW2022383072MaRDI QIDQ1026885

Kaisa Matomäki

Publication date: 6 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.01.010

zbMATH Keywords

exponential sumsalmost primesprimes in arithmetic progressions

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Primes in congruence classes (11N13) Sums over primes (11L20)

Related Items (12)

On a Diophantine inequality with prime numbers of a special type ⋮ Equidistribution of αpθ$\alpha p^{\theta }$ with a Chebotarev condition and applications to extremal primes ⋮ Unnamed Item ⋮ Some problems about friable numbers in Piatetski-Shapiro sequence ⋮ The Bombieri-Vinogradov theorem for nilsequences ⋮ Primes with a missing digit: Distribution in arithmetic progressions and an application in sieve theory ⋮ THE GOLDBACH PROBLEM FOR PRIMES THAT ARE SUMS OF TWO SQUARES PLUS ONE ⋮ On the distribution of \(\alpha p\) modulo one for primes \(p\) of a special form ⋮ On the distribution of \(\alpha p^{\gamma}+\beta\) modulo one ⋮ Distribution of \(\alpha p^2\) modulo one with prime variable \(p\) of a special form ⋮ Vinogradov's theorem with Fouvry-Iwaniec primes ⋮ Vinogradov’s three primes theorem with almost twin primes

Cites Work

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• A mean value theorem on the binary Goldbach problem and its application
• Exponential Sums Over Primes in an Arithmetic Progression
• On the distribution of αp modulo one for primes p of a special form
• A new form of the error term in the linear sieve
• Additive problems with prime numbers of special type
• Diophantine Approximation with a Prime and an Almost-Prime
• On exponential sums over primes in arithmetic progressions

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