Diophantine Approximation with Mixed Powers of Piatetski-Shapiro Primes
Abstract
Let $ [\,\cdot\,] $ denote the floor function. We show that if $ \eta $ is real and the constants $ \lambda_{i} $ satisfy certain necessary conditions, then, for all fixed $ \gamma $ and $ \theta $ such that $ \frac{63}{64}
Fields of Study & Subjects
Analytic Number Theory Research
Algebraic Geometry and Number Theory
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Siberian Mathematical Journal
- Publisher
- Pleiades Publishing Ltd
- Volume
- 67
- Issue
- 5
- Pages
- 1213–1220
- Publication date
- 1 September 2026
- Language
- EN