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On Pjateckiǐ-Šapiro prime number theorem

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Publication:1327000
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zbMath0795.11038MaRDI QIDQ1327000

Chaohua Jia

Publication date: 7 July 1994

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)


zbMATH Keywords

prime number theoremsieve methodsestimates for trigonometric sumsPiatetski-Shapiro theorem


Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Applications of sieve methods (11N36) Distribution of primes (11N05)


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On the Piatetski-Shapiro-Vinogradov theorem ⋮ Almost primes in Piatetski-Shapiro sequences ⋮ A hybrid of two theorems of Piatetski-Shapiro ⋮ Hua’s theorem with the primes in Piatetski-Shapiro prime sets ⋮ Quadratic residues and non-residues for infinitely many Piatetski-Shapiro primes ⋮ Piatetski-Shapiro primes in arithmetic progressions ⋮ Diophantine inequalities over Piatetski-Shapiro primes ⋮ An additive problem on Piatetski-Shapiro primes ⋮ A note on primes of the form \(\lfloor\alpha p+\beta\rfloor\) ⋮ Primitive roots for Pjateckii-Šapiro primes ⋮ Diophantine approximation over Piatetski-Shapiro primes ⋮ A generalization of Piatetski-Shapiro sequences ⋮ An additive problem over Piatetski-Shapiro primes and almost-primes



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