On the Piatetski-Shapiro-Vinogradov theorem

DOI10.5802/JTNB.186zbMath0890.11029OpenAlexW2043044756MaRDI QIDQ1382089

Angel V. Kumchev

Publication date: 25 March 1998

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1997__9_1_11_0

zbMATH Keywords

ternary Goldbach problemPiatetski-Shapiro primesPiatetski-Shapiro-Vinogradov theorem

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32)

Related Items (12)

The Ternary Goldbach Problem with a Missing Digit and Other Primes of Special Types ⋮ AN ADDITIVE PROBLEM INVOLVING PIATETSKI-SHAPIRO PRIMES ⋮ 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 ⋮ Some problems about friable numbers in Piatetski-Shapiro sequence ⋮ On Fibonacci partitions ⋮ \(\ell^p(\mathbb Z)\)-boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems ⋮ Roth's theorem in the Piatetski-Shapiro primes ⋮ Waring–Goldbach Problem with Piatetski-Shapiro Primes ⋮ An additive problem over Piatetski-Shapiro primes and almost-primes ⋮ The ternary Goldbach problem with two Piatetski–Shapiro primes and a prime with a missing digit

Cites Work

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• A hybrid of theorems of Vinogradov and Piatetski-Shapiro
• The Pjateckii-Sapiro prime number theorem
• On Pjateckiĭ-Šapiro prime number theorem. II
• On Pjateckiǐ-Šapiro prime number theorem
• THIN SUBBASES
• On the Pjateckii-Sapiro Prime Number Theorem
• On the distribution of prime numbers of the form [n^c]
• On the Piatetski-Shapiro-Vinogradov Theorem
• Primes of the form \([n^ c\)]
• Primes of the form \([n^ c\)]

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