On the Pjateckii-Sapiro Prime Number Theorem

DOI10.1112/blms/24.2.143zbMath0772.11032OpenAlexW2086994368MaRDI QIDQ4024840

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Publication date: 16 February 1993

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/24.2.143

zbMATH Keywords

Piatetski-Shapiro problem

Mathematics Subject Classification ID

Distribution of primes (11N05)

Related Items (20)

AN ADDITIVE PROBLEM INVOLVING PIATETSKI-SHAPIRO PRIMES ⋮ On the Piatetski-Shapiro-Vinogradov theorem ⋮ Almost primes in Piatetski-Shapiro sequences ⋮ A hybrid of two theorems of Piatetski-Shapiro ⋮ The three primes theorem with primes in the intersection of two Piatetski-Shapiro sets ⋮ Hua’s theorem with the primes in Piatetski-Shapiro prime sets ⋮ Quadratic residues and non-residues for infinitely many Piatetski-Shapiro primes ⋮ Roth-type theorem for quadratic system in Piatetski-Shapiro primes ⋮ Piatetski-Shapiro primes in arithmetic progressions ⋮ Nombres premiers de la forme ⌊n^c⌋ ⋮ On the \(k\)-dimensional Piatetski-Shapiro prime number theorem ⋮ 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 ⋮ \(\ell^p(\mathbb Z)\)-boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems ⋮ Roth's theorem in the Piatetski-Shapiro 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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