Hua's Theorem with the Primes in Piatetski-Shapiro Prime Sets

2016/06/07 by Jinjiang Li, Min Zhang, Li, Jinjiang +1 · 1 citation
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1606.02104

openalex publication_date 2016/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the hybrid problem of Hua's theorem and the Piatetski-Shapiro prime number theorem, and obtain results in this direction of the nonhomogeneous case k=3, which deepen the classical result of Hua.

Citations

• Nombres premiers de la forme ⌊nc⌋
• Prime Numbers in Short Intervals and a Generalized Vaughan Identity

Cited by

• Cubic Waring-Goldbach problem with Piatetski-Shapiro primes

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• A Remark on the Piatetski-Shapiro-Hua Theorem
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